solving an SAT parabola question the SAT way & the HARD way

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solving an SAT parabola question the SAT way & the math way. The best SAT strategy is to plug in and check whenever possible! We are given the graph of a parabola, its vertex, and two other points. The question is asking us to find the equation of this parabola. Of course, since this is the SAT math MCQ section, we can smartly use the answer choice to find out what the correct answer is! As a bonus, I will also show you the actual math way to help you with your algebra class.
Download & try these official SAT practice tests on College Board here: 👇satsuite.colle...
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"Just Algebra" (by blackpenredpen) is dedicated to helping middle school, high school, and community college students who need to learn algebra. Topics include how to solve various equations (linear equations, quadratic equations, square root equations, rational equations, exponential equations, logarithmic equations, and more), factoring techniques, word problems, functions, graphs, Pythagorean Theorem, and more. We will also cover standardized test problems such as the SAT. Free feel to leave your questions in the comment! Subscribe for future videos 👉 bit.ly/just_al...
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5 окт 2024

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Комментарии : 27

@kingbeauregard 2 года назад

Decades and decades ago, I came up with the idea that, just as you can use Newton's method to approximate curves with a straight line, you can approximate curves with a parabola: if your parabola is in the form "ax^2 + bx + c", you can use three data points and solve for a b & c, and from there figure out things like where the extremum is and whether it's a minimum or maximum. Still waiting to find an actual practical application for this.

@squeezy8414 2 года назад

Is this a more accurate approximation than Newton's method?

@kingbeauregard 2 года назад

@@squeezy8414 I don't know; it probably depends on the data. The goal of it would be something like, let's say I have three points of data coming in and I want to decide whether a maximum or minimum is coming up: construct a parabola and see what it predicts.

@squeezy8414 2 года назад

@@kingbeauregard yeah that makes sense

@memedian9546 2 года назад

Nice Strategy! I really love algebra…

@rishabwarrier2769 2 года назад

Honestly tho college algebra is way better.

@memedian9546 2 года назад

@@rishabwarrier2769 Yup, still learning it. The word problems are the hard ones!

@jtris01 2 года назад

That's the first thing I thought to do

@niteliteyt4737 2 года назад

I actually don’t believe it! I solved this question in my head in like 30 seconds! Here is what I did : I know that the vertex value in vertex form is f(x) = a(x-3)^2 + 1, as a result option b and d cancels out! So if u look at one of the given coordinates for example (2,5) and (3,1) The “y” difference is of 4 ( 5-1 = 4) as a result it is “A”! Thats how i did it, idk if i did it in a correct manner!

@Onlylogics-v8j 2 года назад

A hkdse student can solve it in 10sec

@lumina_ Год назад

@@Onlylogics-v8j who the hell cares. Why do you feel the need to comment this on someone proud of themselves? Do you feel superior or something? Because you just come off as a prick

@CyberFlare-fn9kn 5 месяцев назад

@@Onlylogics-v8ja us student could also, this is very low difficulty

@pedrogarcia8706 2 года назад

In this case the algebraic solution actually feels faster than checking the answer choices

@michaeledwardharris 2 года назад

The legitimate way to solve that problem is quite interesting.

@danhtienmai2022 Год назад

The general form of quadratic equations is ax^2+bx+c=0. Plug in each value for x and y to find a, b and c

@Yesytsucks 2 года назад

Well, since x²=(x+1)²-2x-1, which technically says "every next perfect square is bigger than the previous one and the difference is an odd number, starting with 1", we can just look at first two points. The lowest point has x=3 and y=1, while the point on the left side of it has x=2 and y=5. Usually difference in Y would be 1, but now its "a", so a=4. The parabola is located to the right of y axis, so b is negative, meaning that the answer is A).