Algebra and Trigonometry 10th Edition

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: 76

Answer

True. The $x$ of the vertex of $f(x)$ and $g(x)$ are the same.

Work Step by Step

If $f(x)$ and $g(x)$ have the same axis of symmetry, the $x$ of their vertex is the same. - $f(x)$: $-\frac{b}{2a}=-\frac{-10}{2(-4)}=-\frac{5}{4}$ - $g(x)$: $-\frac{b}{2a}=-\frac{30}{2(12)}=-\frac{5}{4}$
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