Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 8 - Section 8.3 - Quadratic Functions and Their Graphs - Exercise Set - Page 626: 55

Answer

$f(x)=3(x−11)^2$

Work Step by Step

The given minimum value is $=0$ at $x=11$. The vertex is $(h,k)=(11,0)$ For the minimum value $a$ must be greater than zero. Take the given function $f(x)=3x^2$. The equation of the parabola that has the same shape is $\Rightarrow f(x)=3(x−h)^2+k$ Substitute the values of $h$ and $k$. $\Rightarrow f(x)=3(x−11)^2+0$ Simplify. $\Rightarrow f(x)=3(x−11)^2$
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