Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 2 - Functions - 2.4 Preview of Transformations: Shifts - Exercises and Problems for Section 2.4 - Exercises and Problems - Page 97: 24

Answer

For any given $z$ value, the graph of $q(z-2 b)+a b$ is $2 b$ units to the right and $a b$ units above the graph of $q(z)$

Work Step by Step

From the inside change, we know that the graph is shifted $2 b$ units to the right. From the outside change, we know that it is shifted $a b$ units up. So, for any given $z$ value, the graph of $q(z-2 b)+a b$ is $2 b$ units to the right and $a b$ units above the graph of $q(z)$.
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