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

Option C. g(x) = (x - 4)² + 9

Explanation:

The given function is f(x) = x². Following transformations have been done to get the new function as followed

for 9 units up

The parent function f(x) will become as g(x) = x² + 9

then 4 units shifted to the right

Then the new function becomes g(x) = (x - 4)² + 9

Option C. is the answer.

Answer 2

Translating f(x) = x^2, 9 units up gives x^2 + 9 while translating x^2 + 9, 4 units to the right gives (x - 4)^2 + 9.

Therefore, g(x) = (x - 4)^2 + 9