# How do you graph y = abs(x - 2)?

May 27, 2016

Draw the half lines in the first two quadrants given by the equations $x \pm y = 2$, emanating from the common point (2, 0).

#### Explanation:

$y = | x - 2 |$ is the combined equation for the pair $y = \pm \left(x - 2\right)$.

Here, $y = | x - 2 | \ge 0$

As $y \ge 0$, the graph consists of the half lines in the first two

quadrants given by the equations $x \pm y = 2$, emanating from the

common point (2, 0).

The graph of y is