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

Question

1866 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-27T16:53:48

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

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

Here, $y = | x - 2 | \geq 0$ $y = |x-2|>=0$

As $y \geq 0$ $y>=0$ , the graph consists of the half lines in the first two

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

common point (2, 0).

The graph of y is

enter image source here

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