Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 11 - Quadratic Functions and Equations - 11.6 Quadratic Functions and Their Graphs - 11.6 Exercise Set - Page 741: 71



Work Step by Step

The equation of the parabola will be in the form $f(x)=a(x-h)^{2}+k$ For $a\gt 0$, the minimum function value is $k$. For $a\lt 0$, the maximum function value is $k.$ Here, the minimum is $(2,0)$ which means $a$ is positive, therefore the shape of the parabola is as $f(x)=2x^{2}$ is. $f(x)=a(x-h)^{2}+k$ Substitute $a=2,h=2,k=0$ $f(x)=2(x-2)^{2}$
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