Question

F(x)=x^2 what is g(x)?

Answer 1

B

Explanation:

You are given that a valid point on g(x) is (4,1) or y=1 when x=4

Substitute this point into each of the choices and see which one is valid.

A : g(x) =
`(1)/(4)`x² = (1/4) (4²) = 4 ≠ 1 (not valid)

B: g(x) = [(1/4) x]² = [(1/4) 4]² = 1² = 1 (valid)

C: g(x) = 4x² = 4 (4²) = 64 ≠ 1 (not valid)

D: if you expand it out, you'll find that this is identical to option A which we determined earlier to be not valid.

Hence the only valid choice is B