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In Exercises 43-46, write an equation for the parabola in standard form.

$y=2(x-2)^{2}$

Algebra

Chapter 2

Polynomial and Rational Functions

Section 1

Quadratic Functions and Models

Quadratic Functions

Complex Numbers

Polynomials

Rational Functions

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In mathematics, the absolu…

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In Exercises 43-46, write …

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In Exercises $43-54$ , fin…

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In Exercises 47-56, write …

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Write an equation of the p…

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this problem, we see that the Vertex is given by the point two zero and that the Graf passes through the point three two. So if we go to the standard form recall, this is the general standard form where the Vertex is given by H. K. So in our case, using each equals two K equals zero. We can rewrite this now if we could just find the value of a we solve the problem. So let's use this fact here, which says f of three is equal to two. So this means so plug in three and for X, and you have a Abel's too. So just plug in that value in for a in our formula and we'LL get the standard form and here's our final answer.

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