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: 56

Answer

Refer to the blue graph below. The graph involves a $2$-unit shift to the left of the parent function $f(x)=|x|$

Work Step by Step

Create a table of values then plot each ordered pair and connct them using a line (a V-shaped graph must be formed). Refer to the graph above. Recall: The graph of the function $y=f(x-h)$ involves a horizontal shift of $|h|$ units (to the right when $h\gt0$, to the left when $h\lt0$) of the parent function $f(x)$. The given function has $f(x)=|x|$ as its parent function, and can be written as $y=f(x+2)$. Thus, with $h=-2$, its graph involves a $2$-unit shift to the left of the parent function $f(x)=|x|$. Refer to the graph blue above.
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