Question

The parent function of the function g(x) = (x – h)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=9 and k =-8 is the answer.

Explanation:

If parent function is f(x) =
`x^(2)`

And g(x) is
`(x-h)^2+ k` the function obtained by shifting h horizontally to the right side and vertical up by k units.

Since g(x) is located at (9,-8) means it is 9 units horizontally shifted and 8 units vertically down

Actually( h,k ) is the vertex of the g(x) which will be same as (9,-8 )

therefore h =9 and k =-8