# How do you graph y =abs( x + 5)+ 6?

Jul 15, 2018

Below

#### Explanation:

$y = \left\mid x \right\mid$ is an absolute value graph with the vertex at $\left(0 , 0\right)$
graph{absx [-10, 10, -5, 5]}

$y = \left\mid x + 5 \right\mid$ is the same as $y = \left\mid x \right\mid$ but shifted to the left by $5$ units so the vertex is $\left(- 5 , 0\right)$
graph{abs(x+5) [-10, 10, -5, 5]}

$y = \left\mid x + 5 \right\mid + 6$ is the $y = \left\mid x + 5 \right\mid$ graph shifted up by $6$ units so the vertex is $\left(- 5 , 6\right)$
graph{abs(x+5)+6 [-36.53, 36.52, -18.27, 18.26]}