Question

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

Answer 1

Answer:

The vertex is the point  $(4,11)$

Step-by-step 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  $(4,11)$