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)? a. g(x) = (x + 9)2 + 4 b. g(x) = (x + 9)2 − 4 c. g(x) = (x − 4)2 + 9 d. g(x) = (x + 4)2 + 9

Answer : C

The function has been translated 9 units up and 4 units to the right to form the function g(x)

For 9 units up, we add 9 at the end of f(x)

f(x) + 9

so equation becomes

For 4 units right , we subtract 4 from x  in f(x)

f(x-4)

So the equation becomes

Hence