Question

What are the coordinates of the vertex of the graph of the absolute value function h(x) = 3|x + 5| + 2?

Answer 1

(-5,2)

Explanation:

h(x) = 3|x + 5| + 2 is an absolute value function in vertex form. Vertex form is f(x) = a | x - h | + k with a vertex at (h,k). So find h and k in the function, 3|x + 5| + 2, but remember in the formula h is negative so flip the sign of what ever is in your function. So if h=-5 and k=2, then the vertex is (-5,2).