## College Algebra (6th Edition)

Published by Pearson

# Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.1 - Page 343: 15

#### Answer

$(-1,9)$

#### Work Step by Step

Since the equation is not in standard form, use the formula $x=\frac{-b}{2a}$ to find the $x$ coordinate of the vertex. $f(x)=-x^{2}-2x+8$ $x=\frac{-(-2)}{2(-1)}=-1$ Now plug in the $x$ value in the original equation. $-(-1^{2})-2(-1)+8=9$ $(-1,9)$

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