Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.4 - Exponential Functions - 1.4 Exercises - Page 53: 12


Refer to the blue graph below:

Work Step by Step

The parent function of $y= (0.5)^{x-1}$ is $y=0.5^x$. First, graph $y=0.5^x$ (refer to the black graph below). Recall: The graph of $y=f(x-c)$ involves a shift of $c$ units to the right of the parent function $y=f(x)$. The given function $y=(0.5)^{x-1}$ has $c=1$. Thus, to graph the given function, shift the graph of $y=0.5^x$ one unit to the right to obtain the blue graph below.
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