Question

The standard form of an absolute value function is f(x) = a|x- h| + k. Which of the following represents the vertex?

(-k,h)
(-h,k)
(k,h)
(h,k)

Answer 1

D on edg2020

Explanation:

Took the test

Answer 2

(h, k) is the point that represents the vertex of this absolute value function

Explanation:

Recall that the vertex of an absolute value function occurs when the expression within the absolute value symbol becomes "zero", because it is at this point that the results in sign differ for x-values to the left and x-values to the right of this boundary point.

Therefore, in your case, the vertex occurs at x = h, and when x = h, then you can find the y-value of the vertex by looking at what f(h) renders:

f(h) = a | h - h | + k = 0 + k = k

Then the point of the vertex is: (h, k)