## Algebra 1

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