Question

The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?

g(x) = (x + 9)2 + 4
g(x) = (x + 9)2 − 4
g(x) = (x − 4)2 + 9
g(x) = (x + 4)2 + 9

Answer 1

g(x) = (x − 4)^2 + 9

Explanation: translating x^2 right 4 gives (x − 4)^2, then up 9 adds +9.