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

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

Answer 2

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