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

.5 inches in your momStep-by-step explanation:...

What is the vertex of the graph of y = -2|x-4|+ 11? - id24114244439, iamsecond235p318rq

kelcey1972harris

13.01.2022

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

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

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

h=4

k=11

therefore

The vertex is the point (4,11)

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