Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 2 Linear Equations and Functions - 2.7 Use Absolute Value Functions and Transformations - 2.7 Exercises - Skill Practice - Page 127: 19



Work Step by Step

The absolute value functions have the form $y=a|x-b|+c$ where $(b,c)$ is the vertex of the function. Hence here because the vertex is at $(-2,-1)$, $y=a|x+2|-1$. Since $(0,0)$ is on the function, plugging in the values we get: $0=a|2|-1\\0=2a-1\\1=2a\\a=0.5$. Thus $y=0.5|x+2|-1$.
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