Respuesta :

apologiabiology
find the zero point of the absolute value function
|x+5|=0
x=-5
when x=-5
that is min point since if it was -6, it would give |-1| then 1, then it would go back up

that is the x value of vertex
sub back into equation to find y value of vertex

f(-5)=|-5+5|-6
f(-5)=|0|-6
f(-5)=-6

xvalue=-5
yvalue=-6

(x,y)
answer is (-5,-6)


3rd option
facundo3141592

We want to get the vertex of the graph of f(x) = |x + 5| - 6.

The vertex is (-5, -6)

The vertex of an absolute value function:

f(x) = |x - a| + c

Is at the value of x such that the argument of the absolute value part, x - a, is equal to zero.

So in our case:

f(x) = |x + 5| - 6

First, we must solve x + 5 = 0

x = -5

Now to get the y-value of the vertex, we just evaluate the function in x = -5

f(5) = |-5 + 5| - 6 = -6

Then the vertex is at (-5, -6)

If you want to learn more, you can read:

https://brainly.com/question/16190450

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