# How do you graph y=abs(x)+5?

Jul 26, 2016

$y \ge 5$. The graph is V-like right angle with vertex at (0, 5). The upward y-axis bisects the angle.

#### Explanation:

$y - 5 = | x | \ge 0. S o , y \ge 5$

$y = | x | + 5$ is the combined equation to the pair of semi-straight lines

represented by

$y = x + 5 , x \ge 0$ and

$y = - x + 5 , x \le 0$

The half-lines rise from the terminal(0, 5) and include a right angle.

The angle is bisected by the upward y-axis,

graph{(y-x-5)(y+x-5)=0[-20 20 4 25]}