Answer
$b=±10$
Work Step by Step
The $y$ of the vertex is $-50$:
$f(-\frac{b}{2a})=-50$
$f(-\frac{b}{2})=-50$
$(-\frac{b}{2})^2+b(-\frac{b}{2})-25=-50$
$\frac{b^2}{4}-\frac{b^2}{2}=-25$
$-\frac{b^2}{4}=-25$
$b^2=100$
$b=±10$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 3 - 3.1 - Quadratic Functions and Models - 3.1 Exercises - Page 250: 78
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