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)? 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 1

It'd be c) g(x)=(x-4)2+9

Answer 2

Answer : C

The function
`f(x)= x^2` 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
`f(x)= x^2 + 9`

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

f(x-4)

So the equation becomes
`f(x) = (x-4)^2 + 9`

Hence
`g(x) = (x-4)^2 + 9`