Essay writing for university
One Apa Paper With Two Separate Topics
Thursday, September 3, 2020
Alcoholism Essays (4186 words) - Alcohol Abuse, Alcoholism
Liquor addiction liquor addiction Definitions and causal variables of liquor abuse Liquor abuse comprises of a dreary admission of mixed refreshments to a degree that the consumer is hurt. The mischief might be physical or mental; it might likewise be social or monetary. Understood in the origination of liquor abuse as a sickness is the possibility that the individual encountering rehashed or enduring injury from his drinking would modify his conduct in the event that he could. His inability to do so shows that he can't support himself, that he has lost authority over drinking. This origination consolidates the possibility of habit or reliance. Formal meanings of liquor abuse shift as indicated by the perspective of the definer. An oversimplified, good old clinical definition considers liquor abuse an illness brought about by incessant, exorbitant drinking. A simply pharmacological-physiological meaning of liquor abuse characterizes it as a chronic drug use unmistakable by the requirement for expanding portions to create wanted impacts and by the event of a withdrawal disorder when drinking is halted. This definition is lacking, since liquor abuse doesn't look like different addictions in the requirement for expanded portions. Opium addicts become adjusted to and require as much as multiple times the typical deadly portion, yet the expanded adds up to which drunkards become adjusted are well beneath the ordinary single deadly portion. In addition, the withdrawal conditions in liquor addiction happen conflictingly, at times neglecting to show up in similar people who experienced them already and clearly never happening in ce rtain people who can't be recognized from affirmed drunkards. Conduct instead of pharmacological-physiological signs are significantly more steady and solid in characterizing and diagnosing liquor addiction. A refined definition speaking to present day originations of far reaching medication orders liquor abuse as an ailment of obscure reason, without unmistakable anatomical signs, showed by dependence on or reliance on liquor. An increasingly far reaching definition joining the points of view of both mental and physical medication perceives that liquor abuse might be either an indication of another hidden, perhaps mental, issue or an illness itself: liquor abuse, in this view, is an interminable and typically dynamic ailment or a manifestation of a basic mental or physical issue, described by reliance on liquor (showed by loss of command over drinking) for help from mental or physical pain or for satisfaction from liquor inebriation itself, and portrayed additionally by an utilization of mixed refreshments adequately extraordinary and steady t o cause physical or mental or social or monetary handicap. Here, the origination of infection without a doubt lays on the proof of disablement. The different definitions that depend on the side effect of loss of authority over drinking regularly consider the loss of control to comprise of a powerlessness to quit drinking once it is begun, inferring that the alcoholic can decide not to take the principal drink. However, the more complete definition considers the to be as beginning a drinking scene since he can't hold back. Nor does the loss of command over drinking remain constant constantly. Likewise with indications in numerous maladies, the loss of control is dynamic in many heavy drinkers just conflictingly. This implies a heavy drinker isn't generally constrained to drink and can some of the time oppose drinking, or, on the off chance that he drinks, he can at times drink in a controlled manner. The irregularity of the loss of control is, in any case, predictable with a meaning of liquor addiction dependent on learning brain science: liquor abuse, in this definition, is an educated (or adapted) reliance on (or dependence on) liquor that overwhelmingly actuates resort to drinking at whatever point a basic interior or natural improvement (or sign) introduces itself. This definition leaves space for the origination that liquor abuse may begin as a manifestation of a hidden issue, which actuates the learning of the alcoholismic design, and that once the example is fixed or molded it might turn into a malady in its own right (that is, a compulsion), equipped for enduring even the vanishing of the first basic reason. A few scholars who see liquor addiction as basically a manifestation don't really buy in to the possibility that it is found out, despite the fact that they perceive that it might advance to the condition of an essential ailment. Liquor abuse is a diverse marvel requiring more than one definition. Disease transmission specialists need a definition that will empower them to recognize drunkards inside a populace not accessible for singular assessment. Such a definition may depend on an amount and-recurrence estimation of drinking
Wednesday, August 26, 2020
3 Steps to Take Before You Quit Your Job
3 Steps to Take Before You Quit Your Job Ever fantasy about exiting and failing to look back? Frequently wonder in the event that you would ever seek after a profession, degree, or dream you think may be excessively unsafe? Presently may be the time. We spend a lot of our lives reluctant to settle on the significant choice. In any case, by far most of Americans arenââ¬â¢t completely connected with or improved at work. Furthermore,â studies show that most salary increases come after an occupation switch. You could be more joyful and get more cash-flow, if just you were sufficiently bold to take the leap!1. Make a budgetary planOf course, youââ¬â¢ll need to investigate your funds. On the off chance that you donââ¬â¢t have a security net to get you through a couple of months jobless, at that point the time isn't yet right. Consider making a stopping store for one year from now, and begin thinking up what youââ¬â¢d rather be doing with your life. Be that as it may, in the event that you do have the fluid to face th e large challenge, the potential prizes are overwhelming.2. Make a strategic planDo your schoolwork. To what extent would you be able to make it without work? Whatââ¬â¢s your most dire outcome imaginable would it be a good idea for it to all turn out badly? Converse with the individuals who might be influenced by your choice companion, kids, guardians, colleagues. Above all, start to rejigger your vocation personality so you wonââ¬â¢t capitulate to feeling like a vagabond. Specialty a preemptory answer to the feared mixed drink party question, ââ¬Å"So what do you do?â⬠If you have an answer arranged, youââ¬â¢ll begin to feel sufficiently able to utilize it.3. Donââ¬â¢t jump blindlyDo the typical systems administration and employment looking, however make a point to make room in your calendar for some spirit looking. What did you really adore about the work you were doing? What are a few highlights of your optimal activity? What might you want to do with your life on the off chance that you had one increasingly possibility and one major re-set button?Thereââ¬â¢s consistently an ideal opportunity to improve your life. So feel free to give yourself the alternative of being progressively satisfied. At some point, it may be past the point of no return for you to change, for some explanation yet today isn't that day.
Saturday, August 22, 2020
Belize Before and After Independence
Belize has developed since its official statement of Independence from the United Kingdom in 1981. Before autonomy Belizeââ¬British Hondurasââ¬was a nation that was a piece of an Empire; that was under the standard of Her Majesty, Queen Elizabeth II. Anyway due to the British system of getting regions, for example, Belize, The United Kingdom would benefit from Belizeââ¬â¢s assets, and control the nation. This methodology left Belize injured and immature. Before its Independence Belize had poor ways of life, ineffectively prepared schools, and less than impressive social life.However infrastructural and mechanical changes have end up being the impetus that have improved how individuals live, learn at school, and their public activities. Ways of life in Belize have changed radically throughout the years contrasted with the prior years freedom. The ways of life before freedom were exceptionally low, nearly destitution level on the off chance that you may say as much. Individuals despite everything depended on what was accessible to them so as to attempt to carry on with a prosperous life. Due to the idea of British Hondurasâ⬠Belizeâ⬠around then advancement in the nation was pretty much nothing or very slow.Most individuals lived in ineffectively built houses, with no regard to appearance or shading . They were either made of shrub sticks or board lodges, that offered no genuine security from the climate and its components. Present day outfitted houses were not many around then; just necessities were most ordinarily found in houses, for example, a bed or dozing mat and a seating room region. With an essential kitchen most regularly discovered outside of the house fuelled by wood. Plumbing in those days was additionally fundamental with for the most part just cold water.Diet likewise varies from that of today. The prior years autonomy food was for the most part, food that was developed in terrace plants by individuals; markets were abnormal. Most norm al nourishments in those occasions were for the most part beans, yam, cassava, potatoes, sweet potatoes, and poultry brought up in terraces, for example, chickens and ducks. On the opposite cutting edge Belize has been reformed nation with enhancements in ways of life. Houses nowadays are those of character and distinction.The within the houses is wanted to detail with rooms with open to bedding, closets and painted with its own one of a kind hues, restrooms with showers with high temp water, lounges indoor kitchens and quality machines that make pretty much every errand in the house a minor stroll over. Most houses are currently worked from solid, given a pitch of present day solid material, shining windows, surprising hues as indicated by affection and even an all around cut nursery to complete of the look. Despite the fact that Wood lodges exist today are very much worked with quality and regard for the outside is flawless. The even have glass windows, entryways and even electric ity!The diet of a great many people have without a doubt changed too in Belize years after autonomy, top notch food territories are accessible for individuals to go to and eat, there are more markets accessible in the urban communities to purchase new deliver of either organic products or vegetables. On the off chance that they would prefer not to eat out, individuals currently have the advantage of preparing quality food at home in the security of their own kitchens, items, for example, canned food or speedy nourishments are presently normal in Belize, with items, for example, Ramen and ââ¬Å"Mac and Cheeseâ⬠, having an exceptionally upheld market of for the most part understudies or individuals who want to concoct snappy meals.Education was altogether different in Belize during the time before freedom was reported. Youngsters went to inadequately developed schools that didn't offer a sufficient situation for the students. School had poor seating, poor or no lighting, on the off chance that it was excessively hot in class, at that point the main activity was open the windows, and most youngsters went to class without the appropriates, for example, books and pencils so as to carry out the responsibility with the correct instruments. Garbs barely existed in those occasions, they wereââ¬childrenââ¬allowed to get into easygoing garments to take to school.Teaching subjects such History material was likewise that of a disputable sort, since they were for the most part educated about the historical backdrop of Europe and minimal about Belize itself and its environmental factors, for example, Central America, The Caribbean and The Americas. Innovation in the schools was immature innovation, for example, PCs fans, etc in schools were just accessible in the better schools. Then again after freedom the administration has made improving training a need as opposed to need. Offspring of todayââ¬â¢s Belize appreciate decent training framework that has advanced over the years.Most schools are developed with concrete and high evaluation materials with most schools embracing their own remarkable hues that speak to them as a school, with all around prepared nurseries. Understudies are currently furnished with seats that have been structured in view of ergonomics and style, not exclusively to they get a decent seat to sit on, yet it is gorgeous as well! Lighting in the study halls has been improved, and when itââ¬â¢s hot the whole educator needs to state ââ¬Å"put on the fans, or get the remote and out broadcasting in real time conditionerâ⬠.Saying that most kids don't have any provisions to take to class nowadays would be off the mark, on the grounds that most kids convey great packs they like, they have the vast majority of the books they have to acquire the most obvious opportunity with regards to going at school, and in particular most if not all schools nowadays in Belize wear exceptional garbs that speak to the school as a brand and are effortlessly recognized by an identification that they wear, that distinguishes which school they come from.Teaching techniques have additionally changed with the accentuation of instructing to be that of Belize, The Caribbean, The Americas and the remainder of the world, which has been made simpler by the utilization of innovation, for example, PC that has improved current illicit relationships of the youngsters in Belize, particularly with the presentation of the World Wide Web. Public activity in Belize pre autonomy isn't one that the vast majority who might need to live through, on the grounds that socially contrasted with todayââ¬â¢s hustle and bustle.Before freedom the cultural existence of a great many people comprised of essentially associating around containers or companions houses to drink custom made liquor, for example, chicha, since organization blended liquor was not so reasonable, and were not unreasonably famous. For the individuals who didn't extravagant mixed refreshment, choices were constrained to generally characteristic juices and coconut water, since items, for example, Coca-Cola were not modest, or promptly accessible. Clubs and Discotheques were not of high caliber and significance as they are today, and style sense was not as it is today.Then again after freedom Belize went to their actual Caribbean culture of sing and move, with clubs that give excellent music and mixed drinks that contrast from Rum,Brandy,Gin and Lagers, for example, Belikin beers,Lighthouse ale and different refreshments that vary to numerous preferences of individuals. For the time being fermented consumers they can appreciate the great organization of music and move in clubs, with their alternatives constrained to common juices, however to progressively decision is presently accessible Company brands, for example, Coca-Cola give a wide assortment of bubbly beverages, for those looking for vitality boosting drinks have options, for example, Full Thrott le and Red Bull.All in all the two periods among when freedom are totally different, with today being a more evolved nation than it was at that point. Never the less Belize is essentially a nation that has not completely grown at this point, and I unequivocally accept if Belize had remained under the standard of the Queen, it would have been exceptional of nation.
Types of Verb Forms and Functions in English
Kinds of Verb Forms and Functions in English A book by the An action word is generally characterized as a grammatical form (or word class) that portrays an activity or event or shows a condition. Yet, exactly when is a word an action word? By and large, it bodes well to characterize an action word by what it does than by what it is. Similarly as a similar word (downpour or day off, model) can fill in as either a thing or an action word, a similar action word can assume different jobs relying upon how its utilized. Set forth plainly, action words move our sentences along from multiple points of view. Here, by distinguishing 10 sorts of action words, well quickly consider a portion of their progressively regular functions.â Helper Verbs and Lexical Verbs A helper action word (otherwise called a helping action word) decides the mind-set or tense of another action word in an expression. In the sentence It will rain today, for instance, the action word will enables the action word to rain by highlighting what's to come. The essential assistants areâ the different types of be, have, and do. The modular assistants incorporate can, could, may, must, should, will, and would. A lexical action word (otherwise called a full or principle action word) is any action word in English that isnt a helper action word: it passes on a genuine significance and doesnt rely upon another action word: It came down throughout the night. Dynamic Verbs and Stative Verbs A powerful action word shows an activity, procedure, or sensation: I purchased another guitar. A stative action word, (for example, be, have, know, similar to, own, and appear) portrays a state, circumstance, or condition: Now I own a Gibson Explorer. Limited Verbs and Nonfinite Verbs A limited action word communicates tense and can happen all alone in a primary proviso: She strolled to class. A nonfinite action word (an infinitive or participle) doesnt show a qualification in tense and can happen on its own just in a needy expression or proviso: While strolling to class, she recognized a bluejay. Normal Verbs and Irregular Verbs A normal action word (otherwise called a feeble action word) shapes its past tense and past participle by including - d or - ed (or at times - t) to the base structure: We completed the project.â An unpredictable action word (otherwise called a solid action word) doesnt structure the past tense by including - d or - ed: Gus ate the wrapper on his candy bar.â Transitive Verbs and Intransitive Verbs A transitive action word is trailed by an immediate article: She sells shells. An intransitive action word doesnt take an immediate article: She stayed there unobtrusively. (This qualification is particularly precarious on the grounds that numerous action words have both transitive and intransitive capacities.) Does that spread everything action words can do? A long way from it. Causative action words, for instance, show that some individual or thing assists with getting something going. Catenative action words get together with different action words to shape a chain or arrangement. Copular action words interface the subject of a sentence to its supplement. At that point there are performative action words, mental-state verbs,â prepositional action words, iteratives, and detailing action words. Furthermore, we havent even addressed the detached or the subjunctive. In any case, you get the thought. Despite the fact that they can get tense and touchy, action words are persevering grammatical features, and we can depend on them to get things going from multiple points of view. * Stephen Pinker, The Stuff of Thought. Viking, 2007ââ¬â¹
Friday, August 21, 2020
Value Alignment free essay sample
Apple Inc. plans, fabricates, and showcases versatile correspondence, media gadgets, PCs, convenient computerized music players, and sells related programming administrations (Partner, 2013). The organizers of Apple were Steve Jobs, Ronald Wayne, and Steve Wozniak; Wayne offered his piece of the organization to Jobs and Wozniak for $800. Apple opened up to the world in 1980 at $22 an offer. Apple is the second biggest innovation organization, third biggest mobile phone maker and in the best 10 fortune 500 rundown. The beginnings and ensuing development of work environment esteems have not changes for Apple throughout the years. Apple has kept up their fundamental beliefs, for example, recruiting the opportune individual, execution, and trustworthiness and advancement. Subtleties stay a high need to apple since they have seen the outcomes in their prosperity. It is essential to be morally stable and treat individuals reasonable. The individual qualities referenced are what drive every one of our group membersââ¬â¢ activities and practices. The main impetus behind each memberââ¬â¢s view of the worth has an intentional implying that comes about whether deliberately considered while performing brought together assignments. We will compose a custom paper test on Worth Alignment or on the other hand any comparative subject explicitly for you Don't WasteYour Time Recruit WRITER Just 13.90/page As per Graziadio Business Report (2009), Values drive conduct and should be deliberately expressed, however they additionally should be avowed by activities. This is vital the same number of may talk about their qualities, however one sees what is certified when activities put words to. Qualities apply impact over our mentalities and perspectives impact our conduct. Qualities are vital to mentality arrangement and to how we react to individuals and circumstances. Singular qualities drive various practices, which thusly drive individual execution and at last hierarchical execution (Graziadio Business Report, 2009). Driving moral conduct with qualities and mentalities requires that there be arrangement among qualities, perspectives, and conduct. The four primary qualities that this group perceive as significant are uprightness, collaboration, execution, and learning. Albeit every part has changing motivations to utilize these qualities, in various degrees of need, there are times that setting individual inspirations aside and acting with objectivity by making the right decision being established. This group has demonstrated that the qualities they state are all around lined up with the activities performed. Acting legitimately and decently is a drawn out driver of moral conduct. Recalling the ââ¬Å"Golden Ruleâ⬠details the drive. Individual and work environment esteems, morals assume a significant job in any association that is basic to progress. To accomplish a fruitful arrangement among corporate and singular qualities, there should be an advantageous connection between the organization and the individuals it utilizes. This advantage contains a significant incentive to both the association and the worker. Apple acknowledges change and addresses it in the crucial vision explanation just as the estimations of the organization. The qualities give guidance for the workers, accomplices, and clients. Apple is fruitful in the howdy tech advertise, it is additionally known for its failure to differentiate its workforce. All together for Apple Inc. to be effective, it must have the option to comprehend and grasps assorted variety, inside work, accomplices of the organization, the business sectors, and nations Apple Inc. works together in. Assorted variety of workers, accomplices, and clients shows the qualities found in the School of Ethical Relativism. This idea states esteems are not quite the same as culture to culture, and society to society and the qualities will change to be worthy inside the way of life or society convictions (2004 McGraw-Hill Companies, Inc. ). Apple is committed to serving their investors in the most expert and moral manners conceivable. Apple has an arrangement of administration that supervises the everyday tasks of the Chief Executive Officer and all senior administration. This arrangement of administration is known as the Board of Directors. ââ¬Å"To fulfill the Boards obligations, executives are relied upon to take a proactive, centered way to deal with their positions, and set measures to guarantee that Apple is focused on business accomplishment through the support of exclusive expectations of duty and morals. â⬠(Governance, 2014). The board has created council contracts and rules for administration, for example, business direct strategies, hostile to debasement arrangements, corporate administration rules, irreconcilable circumstance rules, political commitments and use, related gathering exchanges and numerous others. These measures to guarantee trustworthiness are expertly implemented and assembled quite well. Apple has gone well beyond to guarantee an elevated level of morals to ensure a positive result for their workers and investors. These qualities are an incredible establishment for any business to execute to guarantee a strong relationship with proprietors and investors while at the same time ensuring their clients and workers in the entire everyday tasks. Since its initiation in 1984 the Apple Inc. has developed to get one of the greatest notable organizations on the planet. This climb happened from brilliant administration, imaginative thoughts and promoting just as innovative work. To close group B will broke down the sources, inspirations and improvements of individual qualities that influence each day rehearses, and distinguish the birthplaces and advancements of qualities inside the working environment. This conversation additionally recognized the estimations of Apple Inc. furthermore, clarified how all were lined up with the plans and activities including a clarification of the contrasts among organization and individual qualities.
Thursday, August 13, 2020
Time to Complete the MIT Midyear Report
Time to Complete the MIT Midyear Report The MIT Midyear Report is now available! You can fill it out now at http://my.mit.edu. To announce this, Dean of Admissions Stu Schmill has just sent out this email: The MIT Midyear Report is now available on your MyMIT Tracking page, http://my.mit.edu. Complete your MIT Midyear Report now. The MIT Midyear Report is an online form that is required of all students, and is to be completed by you, the applicant. ‰ The Report serves two purposes: to provide your updated grades since you have applied, and to mention other updates since you submitted your application. Please submit this form as soon as your midyear grades are available or by February 15th, whichever is earlier. A few notes: You should complete the Report as soon as possible after completion of the fall semester or second quarter (if your school uses a trimester schedule, please use your first trimester grades). ‰ ‰ You do not need to have a hardcopy of your updated transcript sent by your school, and even if your school has sent a hardcopy transcript, you are still required to submit the MIT Midyear Report. ‰ There is also an option in the Report for students whose schools do not provide any midyear grades, homeschooled students, and students already out of school. Finally, my colleagues in the Financial Aid Office are happy to announce that the Financial Aid Tracking System is also now available on MyMIT. ‰ On the Financial Aid Tracking System, you can view which documents have been received by the MIT Financial Aid Office. ‰ You can learn more about applying for financial aid on the Student Financial Services website. ‰ The deadline for applying for financial aid is also February 15th. Best wishes, Stuart Schmill MIT Dean of Admissions Hopefully, the form is pretty self-explanatory, but here are a few notes: The Midyear Report is an online form that is to be completed by every student being considered for Regular Action admission (thus, RA applicants including international students and EA deferreds). The Midyear Report is to be completed by you, the applicant. The MIT Midyear Report is different than the Common Application Midyear Report. The Common App MYR which is filled out by your counselor and sent to Common Application schools. The MIT Midyear Report is to be filled out by you, the applicant, online via your MyMIT Tracking. The MIT Midyear Report serves two purposes: to get your updated grades since you have applied (Midyear Grades). to get any other updates since you submitted your application (Midyear Updates). The Midyear Grades form has fields for your to report your coursework and grades. This is similar to the Self-Reported Coursework Form from the Part 2 of the application, except that were only looking for current year courses and grades. And were only looking for this from students with something to report so if youre in a school that doesnt have midyear grades, or youve already graduated, dont worry, youre all set you will be able to skip this section. The Midyear Updates form will be a simple text box, similar to one of the essays from the Part 2. The Midyear Update has a maximum of 250 words. We are happy to accept a midyear/updated transcript from your school/counselor, or the Common App Midyear Report form. However, even if your school/counselor submits a transcript, you still are required to complete the online MIT Midyear Report. The MIT Midyear Report is due by February 15. Weve been getting a number of questions about the Midyear Grades section of the form. Here are some quick tips: For most of you, this will be pretty strightforward. Youll take your transcript, then write the course name in one box, and your semester/trimester grade in the corresponding box. For example: While we ask for you to keep the grades column as pristine as possible, feel free to add some extra info in the Subjects taken box. For example: BiologyA+ AP CalculusA- EnglishA+ HistoryB+ Spanish 4B or BC Calculus89 IB Chemistry HL97 British Literature95 Japanese100 Economics (EPGY)A- HealthPass In the Grades box, please list only grades and not narrative text if you can help it. For example, it is sufficient to write B+ rather than B+ (Final grade) or B+ (online course). Also, you dont need to write Currently enrolled, Just started, or Spring semester; it will be, in many cases, better to leave it blank. While we ask for you to keep the grades column as pristine as possible, feel free to add some extra info in the Subjects taken box. For example: Organic Chemistry (via dual enrollment at BHCC)A- or AP Chemistry (self study / MIT OCW) or Chemistry (auditing; not taking for a grade) or Chemistry Honors (Spring Semester) If your transcript provides quarter grades but not a semester grade, you should list both quarter grades. For example: BiologyA, A- or AP Economics96 / 92 If your transcript provides quarter grades and a midterm exam grade but no semester grade, you should list the quarter grades and the midterm exam grade. For example: AP ChemistryA / A- / A or Theory of Knowledge6+, 7, 7 If your school uses a trimester schedule, please use your first trimester grades. We know that in most cases, your second trimester grades will not be available for a while. Some schools including many international schools have no concept of midyear grades. This is okay. You can ignore the text boxes and simply choose the option, I attend a school that does not provide midyear grades. Some schools will not release midyear grades until after the Midyear Report deadline of February 15th. This is okay. You should choose the option Semester grades will be available on ______________________ and I will mail or fax them to you at that time. Some of you have graduated already and have no new grades to report. You should choose the option, Im not currently attending school; MIT has all of my grades. Ill also try to field any other questions you may have in the comments. Happy Groundhog Day!
Sunday, June 21, 2020
Quadratic Functions Shortcuts on the SAT
Most function questions on the SAT donââ¬â¢t give you a graph. In fact, a lot of SAT functions are basically just equation questions. And even if they do include a figure, the functions arenââ¬â¢t always quadratic, making parabolas (horse-shoe shapes). So if you hate graphing parabolas, or you havenââ¬â¢t really studies it, then itââ¬â¢s not the end of the world. It wonââ¬â¢t come up very often. But thereââ¬â¢ll probably be one question on your SAT that asks you to match a graph to an equation (or vice versa). To answer it, all you need is a couple of shortcuts. What do quadratic functions look like? The basic form of a quadratic function is this: Any time you see an equation that looks like that, you can graph it as a parabola. would be quadratic, for example. a=5, b=2, and c=3. How do you graph it? Since the SAT doesnââ¬â¢t ask you to actually draw any graphs, we wonââ¬â¢t focus on that. You may be able to find the answer to the question without even needing to know how. Shortcut#1: a shows the direction of the parabola The value of a will show you whether the parabola it represents is positive or negative. So ifà a (the number multiplying ) is negative, the curve will open downward. And the other way around is also true; if a is positive, the curve will open upward. Shortcut #2: c shows the y-intercept Letââ¬â¢s look at that quadratic function form again. If x=0, then (fx)=c, since we can take out both of those x terms. Thatââ¬â¢s the y-intercept, where the function crosses the y-axis. In the two graphs above, the y-intercept is the same: 1. That means any equation for either of those graphs would have to include a +1 at the end of it. On the other hand, if the graph looked like thisâ⬠¦ â⬠¦then c would have to be -1. Thatââ¬â¢s where the curve crosses the y-axis. Shortcut #3: Use a graphing calculator! Based on those two numbers, a and c, you can usually eliminate a couple of equations or graphs from the answer choices pretty quickly.à Then, just put in whatever info you can into your calculator. If the question is asking about some general trend and doesnââ¬â¢t include specific values for a,b, and/or c, then check if you can plug some in to see the pattern. If you donââ¬â¢t have a graphing calculator, then just take it one point at a time. If x is 1, what is y? If x is 2? And so on. To put it short Always check if the values of a and c narrow down your answer choices. Thatââ¬â¢s the quickest way to make progress when matching parabolas to their equations.
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