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: 16



Work Step by Step

The functions have the form $y=a|x-b|+c$ where $(b,c)$ is the vertex of the function. Hence, because the vertex is at $(4,3)$, $y=a|x-4|+3$. Since $(5,4)$ is on the function, plugging in the values we get: $4=a|5-4|+3\\4=a+3\\a=1$. Thus $y=|x-4|+3$.
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