Question

What is the vertex of the function h(x) = (x+ 6 + 3? O A. (-6,-3) O B. (-6,3) OC. (6,3) OD. (6,-3)​

Answer 1

• B. (-6, 3)

Explanation:

Given function:

• h(x) = |x + 6| + 3

This is the translation of f(x) = |x|, 6 units left and 3 units up

So the vertex is (-6, 3)

Correct choice is B

Answer 2

The vertex is ( -6, 3)

Explanation:

h(x) = |x+ 6| + 3

Inside the absolute value is the h or the x coordinate of the vertex

Outside is the k or the y value of the vertex

It is in the form

h(x) = |x-h| + k where (h,k) is the vertex

h(x) = |x - -6| + 3

The vertex is ( -6, 3)