# How do you graph and find the vertex for abs y = abs(x-3)?

May 27, 2015

There are ways of achieving this analytically, but the simplest method is to generate a few sample data pairs:

$\left(x , y\right) :$
$\left(- 1 , \pm 4\right)$
$\left(0 , \pm 3\right)$
$\left(1 , \pm 2\right)$
$\left(2 \pm 1\right)$
(3,0)

I will assume by "vertex" you mean the point where the two lines cross; $\left(3 , 0\right)$