Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 5 - Linear Functions - 5-8 Graphing Absolute Value Functions - Practice and Problem-Solving Exercises - Page 345: 41

Answer

The relationship between $y=abs(x)$ and $y=abs(x) +k$ is similar to the relationship between $y=mx$ and $y=mx+b$ since the second graph in each pair is just translated $k$ (or $b$) units up (or down).

Work Step by Step

If $k$ or $b$ is positive, then the graph is translated that many units up. Otherwise, the graph is translated down.
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