# How do you graph absolute value equations on a coordinate plane?

Mar 19, 2015

Let's start with a simple one $y = | x + 2 |$

If $x > - 2$, $x + 2$ is positive, so $y = | x + 2 | = x + 2$
If $x < - 2$, $x + 2$ is negative, but will be 'turned around' by the abslote signs, so in this domain $y = | x + 2 | = - x - 2$

These two semi-graphs meet at $\left(- 2 , 0\right)$
graph{|x+2| [-10.5, 9.5, -1.08, 8.915]}