# How do you find the vertex of y = 4 - |x+2| ?

Oct 2, 2016

The vertex is (-2, 4)

#### Explanation:

Set x + 2 equal to 0 and solve for x:

$x = - 2$

This means that the absolute value function flips from negative to positive at $x = - 2$, therefore, this is the x coordinate of the vertex and the y coordinate is the function evaluated at this x coordinate.

$y = 4 - | - 2 + 2 |$

$y = 4$