Algebra 2 Common Core

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

Chapter 8 - Rational Functions - 8-1 Inverse Variation - Practice and Problem-Solving Exercises - Page 505: 57

Answer

Refer to the blue graph below. The graph involves a $3$-unit shift downward of the parent function $f(x)=|x|$
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Work Step by Step

Create a table of values then plot each ordered pair and connect them using a line (a V-shaped graph must be formed). Refer to the graph above. Recall: The graph of the function $y=f(x)+k$ involves a vertical shift of $|k|$ units (upward when $k\gt0$, to downward when $k\lt0$) of the parent function $f(x)$. The given function has $f(x)=|x|$ as its parent function, and can be written as $y=f(x)-3$. Thus, with $k=-3$, its graph involves a $3$-unit shift downward of the parent function $f(x)=|x|$. Refer to the blue graph above.
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