Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-8 Graphing Absolute Value Functions - Lesson Check - Page 348: 4


The graphs are different in that $y = |x| - 4$ is translated or shifted vertically four units down on the y-axis and $y = |x - 4|$ is translated or shifted $4$ units horizontally to the right on the x-axis. The graphs are the same because they both represent absolute value functions and, therefore, have $V$ shapes.

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