# How do you graph y = 4 - abs(x-2) ?

Aug 26, 2015

Determine several points by substituting positive and negative values for $x$. Plot the points and draw lines through the points. The graph should have the shape of a an upside-down V.

#### Explanation:

$y = 4 - \left\mid x - 2 \right\mid$

Determine several points by substituting positive and negative values for $x$.

$x = - 3 ,$ $y = - 1$
$x = - 2 ,$ $y = 0$
$x = - 1 ,$ $y = 1$
$x = 0 ,$ $y = 2$
$x = 1 ,$ $y = 3$
$x = 2 ,$ $y = 4$

Plot the points and draw lines through the points. The graph should have the shape of a an upside-down V.

graph{y=4-abs(x-2) [-10, 10, -5, 5]}