What is the vertex of the graph of y = -2|x-4|+ 11?
show work on how to get the answer.

The vertex is the point  

Step-by-step explanation:

we know that

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

where

a is a coefficient      

(h,k) is the vertex

In this problem we have

so

---> the vertex represent a maximum

therefore

The vertex is the point              

what i would say the best answer is a. 40.5