## Algebra 1

Published by Prentice Hall

# Chapter 5 - Linear Functions - 5-8 Graphing Absolute Value Functions - Practice and Problem-Solving Exercises: 31

#### Answer

$y=|x+\frac{5}{2}|$

#### Work Step by Step

The graph of $y=|x+h|$, where $h$ is a positive number, translates the graph $y=|x|$ to the left $h$ units. By substituting $\frac{5}{2}$ in for $h$, we can translate the graph $\frac{5}{2}$ units to the left. This gives us the equation $y=|x+\frac{5}{2}|$.

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