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

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

User Aborskiy
by
7.7k points

1 Answer

5 votes

Answer:

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)

User Avanche
by
7.8k points

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