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?

Respuesta :

Answer:

h=9 and k =-8 is the answer.

Step-by-step explanation:

If parent function is f(x) = [tex]x^{2}[/tex]

And g(x) is [tex](x-h)^2+ k[/tex] 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