Algebra 2 Common Core

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

Chapter 7 - Exponential and Logarithmic Functions - Mid-Chapter Quiz - Page 461: 9

Answer

Parent function : $f(x)=3^x$ Refer to the blue graph below.

Work Step by Step

Recall: The graph of the function $y=f(x)+k$ involves a vertical shift ($k$ units upward when $k\gt 0$, $|k|$ units downward when $k\lt0$) of the parent function $f(x)$. The given function's parent function is $f(x)=3^x$. The given function can be written as $y=f(x) - 2$. With $k=-2$, the graph of the given function involves a $2$-unit shift downward of the parent function $f(x)=3^x$. Thus, to graph the given function, perform the following steps: (1) Graph the parent function $f(x)=3^x$. (Refer to the black graph below.) (2) Shift the graph of $f(x)=3^x$ two units downward. (Refer to the blue graph below.)
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