Question

The parent function of the function g(x) = (x - 5)2 + k is f(x) = x2. The vertex of the function g(x) is located at (9,-8).

What are the values of h and K?

Answer 1

h = 5 and k = -8.

Explanation:

The parent equation is f(x) = x², which is the equation of a parabola having the vertex at point (0,0).

The original equation is given by g(x) = (x - 5)² + k, ⇒ y = (x - 5)² + k

⇒ y - k = (x - 5)²

So, the vertex of the original equation is at (5, k) which is given to be (5, -8)

Therefore, h = 5 and k = -8. (Answer)