Question

What is the vertex of the graph of y = -2|x-4|+ 11?

Please show work on how to get the answer. Thanks!

Answer 1

The vertex is the point
`(4,11)`

Explanation:

we know that

The equation of the absolute value in vertex form is equal to

`y=a\left|x-h\right|+k`

where

a is a coefficient

(h,k) is the vertex

In this problem we have

`y=-2\left|x-4\right|+11`

so

`a=-2` ---> the vertex represent a maximum

`h=4`

`k=11`

therefore

The vertex is the point
`(4,11)`