College Algebra (11th Edition)

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

Chapter 4 - Section 4.2 - Exponential Functions - 4.2 Exercises - Page 409: 31

Answer

See the picture below.
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Work Step by Step

The parent function is $2^x$ (with red) the given function is $2^{x+1}$ (with blue). For every corresponding x-value the following equation is true: $f(x+1)=g(x)$ this means that the graph is translated 1 unit left. Here is the table of values of the given function: $f(0)=2^{0+1}=2$ $f(1)=2^{1+1}=4$ $f(2)=2^{2+1}=8$ $f(3)=2^{3+1}=16$
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