Respuesta :

its (8,6)

to get your x, you set what's in the absolute value to 0

so

x-8=0

then subtract 8 on both sides to get

x=8

then your y is just the number to the right of the absolute value so

y=6

Answer: Option B

(8, 6)

Step-by-step explanation:

By definition, for an absolute value function of the form

[tex]f (x) = | x-h | + k[/tex]

the vertex of f(x) will always be at the point

(h, k)

In this case we have the function of value ansoluto:

[tex]g(x) = |x - 8| + 6[/tex]

Therefore in this case

[tex]h=8\\k=6[/tex]

Finally the vertex of the function g(x) is: (8, 6)

The answer is the option B