Question

The function f(x)=xhas 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

`f(x)=x^2`

After translation, we have:

$g(x)=f(x-4) +9$

$\implies g(x)=(x-4)^2+9$

Answer 2

The third option.

Explanation:

Hope this helps!