Question

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

Answer 1

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`