College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 3 - Section 3.1 - Quadratic Functions and Models - 3.1 Exercises - Page 294: 28

Answer

$-3$

Work Step by Step

The minimum value of $f(x)$ is the $y$-coordinate of the lowest point on the graph, which is at the vertex.\\ The $y$-coordinate of the vertex is $3$ therefore the minimum value of $f(x)$ is $3$. The $x$-coordinate of the vertex is $-3$ thus, the value of $x$ for which $f(x)$ is the smallest is $-3$.
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