Question

The parent function of the function g(x) = (x - 1)^2 + k is f(x) = x^2. The vertex of the function g(x) is located at (9, -8). What are the values of h and k?

a) h = 9, k = -8
b) h = -8, k = 9
c) h = 1, k = -8
d) h = -8, k = 1

Answer 1

For the function g(x) = (x - h)^2 + k with a vertex at (9, -8), the values for h and k are 9 and -8 respectively, corresponding to option (a).

Step-by-step explanation:

The question is asking for the values of h and k in the function g(x) = (x - h)2 + k, given that the vertex of this function is located at the point (9, -8) and the parent function is f(x) = x2.

The vertex form of a parabola given by the parent function f(x) = x2 is g(x) = (x - h)2 + k, where (h, k) is the vertex of the parabola.

Since the vertex for g(x) is given as (9, -8), we can infer that h = 9 and k = -8. This corresponds to option (a).