Question

Select the correct answer from each drop-down menu.
Consider absolute value function f.
f(x) = -2/3|x + 4|
The vertex of the function is a (minimum, maximum)
at (-4,0) (0,-4) (0,4) (4,0)

Answer 1

The vertex of the function is a maximum at the point; (-4,0)

How to Interpret an Absolute Value Function?

We are given the absolute value function;

f(x) = -²/₃|x + 4|

Now, the vertex of this function will have to occur when f(x) = 0 which will either be a maximum or minimum.

Thus, at f(x) = 0, we have;

-²/₃|x + 4| = 0

divide both sides by -2/3 to get;

x + 4 = 0

x = -4

Thus, the vertex will be at the point (-4, 0)

Read more about Absolute Value Function at; https://brainly.com/question/10538556

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