Algebra 2 Common Core

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

Chapter 2 - Functions, Equations, and Graphs - 2-7 Absolute Value Functions and Graphs - Lesson Check - Page 111: 3

Answer

vertical stretch

Work Step by Step

RECALL: The graph of the function $y=a|x|$ involves a: (i) vertical stretch of the parent function $f(x)=|x|$ if $|a|\gt1$; or (ii) vertical compression of the parent function $f(x)=|x|$ if $0\lt |a|\lt 1$ The given function has: $$|a|=\left|-\frac{7}{2}\right|=\frac{7}{2}$$ Since $|a|=\frac{7}{2}\gt 1$, then the graph of the given function involves a vertical stretch of the parent function $y=|x|$.
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