Respuesta :
Answer:
The function [tex]g(x) = x^2 - 10 x + 32[/tex]
Step-by-step explanation:
(h, k) = (5, 7)
[tex]f(x) = x^2[/tex]
[tex]y = x^2[/tex]
By replacing y = y - 7 and x = x -5, we get the function g(x).
[tex]y - 7 = (x - 5)^2\\\\y - 7 = x^2 + 25 - 10 x \\\\y = x^2 - 10 x + 32\\\\g(x) = x^2 - 10 x + 32[/tex]