Question

What is the vertex of the graph of g(x) = |x – 8| + 6? A (6, 8) B (8, 6) C (6, –8) D (–8, 6)

Answer 1

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 2

Answer: Option B

(8, 6)

Explanation:

By definition, for an absolute value function of the form

`f (x) = | x-h | + k`

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

(h, k)

In this case we have the function of value ansoluto:

`g(x) = |x - 8| + 6`

Therefore in this case

`h=8\\k=6`

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

The answer is the option B