Answer:
The vertex is the point [tex](4,11)[/tex]
Step-by-step explanation:
we know that
The equation of the absolute value in vertex form is equal to
[tex]y=a\left|x-h\right|+k[/tex]
where
a is a coefficient
(h,k) is the vertex
In this problem we have
[tex]y=-2\left|x-4\right|+11[/tex]
so
[tex]a=-2[/tex] ---> the vertex represent a maximum
[tex]h=4[/tex]
[tex]k=11[/tex]
therefore
The vertex is the point [tex](4,11)[/tex]
