Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.7 Graphing Techniques - 2.7 Exercises - Page 271: 3



Work Step by Step

RECALL: The graph of the function $y=f(x-h)$ involves a horizontal shift of $|h|$ units (to the right when $h$ is positive, to the left when $h$ is negative) of the parent function $f(x)$. The parent function of the given function is $y=x^2$. The given function can be written as $g(x)=[x-(-4)]^2$. Thus, the given function is in the form $y=f(x-h)$ with $h=-4$. Therefore, the given function involves a 4-unit shift to the left of the parent function $y=x^2$.
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