Question

The graph of g(x) is a translation of the function f(x) = x2. The vertex of g(x) is located 5 units above and 7 units to

the right of the vertex of f(x). Which equation represents g(x)?

Answer 1

Answer:b

Step-by-step explanation: i took the test

Answer 2

The function
`g(x) = x^2 - 10 x + 32`

Explanation:

(h, k) = (5, 7)

`f(x) = x^2`

`y = x^2`

By replacing y = y - 7 and x = x -5, we get the function g(x).

`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`