# How do you graph y=absx+9 ?

May 1, 2018

$y$ has the standard graph of $\left\mid x \right\mid$ shifted by 9 units positive ("Up") on the $y -$axis.

#### Explanation:

$y = \left\mid x \right\mid + 9$

Consider the standard graph of $\left\mid x \right\mid$ below.

graph{absx [-41.1, 41.07, -20.54, 20.55]}

Then, $y$ has this standard graph shifted by 9 units positive ("Up") on the $y -$axis, as below.

graph{absx+9 [-41.1, 41.07, -20.54, 20.55]}