Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 7 - Exponential and Logarithmic Functions - Chapter Review - Page 489: 35

Answer

Refer to the blue graph below.

Work Step by Step

RECALL: The graph of $y=f(x+k)$ involves a horizontal shift of $|k|$ units to the left (when $k$ is positive) of the parent function $f(x)$. The parent function of the given function is $f(x)=\log_5{x}$. Thus, to graph the given function, perform the following steps: (1) Graph the parent function $f(x)=\log_5{x}$. (Refer to the red graph below.) (2) With $k=1$, shift the graph of $f(x)=\log_5{x}$ $1$ unit to the left. (Refer to blue graph above.)
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