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

Published by Pearson

# Chapter 11 - Quadratic Functions and Equations - 11.6 Quadratic Functions and Their Graphs - 11.6 Exercise Set - Page 741: 51

#### Answer

The vertex is $(\displaystyle \frac{7}{2},-\frac{29}{4})$ The axis of symmetry is $x=\displaystyle \frac{7}{2}.$ The minimum function value is $-\displaystyle \frac{29}{4}$.

#### Work Step by Step

$f(x)=(x-\displaystyle \frac{7}{2})^{2}-\frac{29}{4}$ $a=1$ $h=\displaystyle \frac{7}{2}$ $k=-\displaystyle \frac{29}{4}$ The vertex is $(h, k)$, and the axis of symmetry is $x=h.$ For $a\gt 0$, the minimum function value is $k$. For $a\lt 0$, the maximum function value is $k.$ --- The vertex is $(\displaystyle \frac{7}{2},-\frac{29}{4})$ The axis of symmetry is $x=\displaystyle \frac{7}{2}.$ Since $a\gt 0$, the minimum function value is $-\displaystyle \frac{29}{4}$.

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