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: 65


$f(x)=\displaystyle \frac{3}{5}(x-1)^{2}+3$

Work Step by Step

$f(x)=\displaystyle \frac{3}{5}x^{2}$ In order to have a vertex in the point $(1,3)$, this function needs to be moved $1$ unit to the right and $3$ units up. $f(x)=a(x-h)^{2}+k$ Substitute $a=\displaystyle \frac{3}{5},h=1,k=3$ $f(x)=\displaystyle \frac{3}{5}(x-1)^{2}+3$
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