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In Exercises 47-56, write the standard form of the equation of the parabola that has the indicated vertex and whose graph passes through the given point.

Vertex: $ \left(-\frac{5}{2}, 0 \right) $; point: $ \left(-\frac{7}{2}, -\frac{16}{3} \right) $

$y=\frac{-16}{3}\left(x+\frac{5}{2}\right)^{2}$

Algebra

Chapter 2

Polynomial and Rational Functions

Section 1

Quadratic Functions and Models

Quadratic Functions

Complex Numbers

Polynomials

Rational Functions

Oregon State University

Harvey Mudd College

Baylor University

Lectures

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In mathematics, the absolu…

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In Exercises 47-56, write …

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Write the standard form of…

recall that the standard for of a parabola is given by the following equation. And now this is a problem with Vertex H Cate. And so here we are, given the Vertex H is negative five paths K equals zero. So let's go ahead and plug those in for Agent K and then K zero So I won't have that if we could just find the value of A that we solved the problem. And to do that we'LL use this information over here. This tells you if you plug in negative seven half for eggs, you get negative sixteen thirds for why so using our Vertex form we've rewrite this equation over here. It's this equation so that we could find a way. So this expression is negative one You square that you just get one and you end up with a equals negative sixteen over three. So finally we take our first takes form and just replaced the EVA value. So that is the standard form for our problem

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