# How do you graph y = | 3x+6|?

Jan 20, 2017

See the V-shape Socratic graph.

#### Explanation:

$y = 3 | x + 2 | \ge 0 , \mathmr{and} = 0$, at $x = - 2$.

This is the combined equation for the pair of half lines

$y = 3 \left(x + 2\right) , x \ge - 2$ and

$y = - 3 \left(x + 2\right) , x \le - 2$.

graph{3|x+2| [-5, 5, -2.5, 2.5]}