Answer:
D. g(x) = (1/4 x)^2
Step-by-step explanation:
We have to choose a solution in which the point (4, 1) works.
A) g(x) = 1/4(x^2) = 1/4(4^2) = 1/4(16) = 4 ≠ 1
B) g(x) = (1/2 x)^2 = (1/2 * 4)^2 = 2^2 = 4 ≠ 1
C) g(x) = 4(x^2) = 4(4^2) = 4(16) = 64 ≠ 1
D) g(x) = (1/4 x)^2 = (1/4 * 4)^2 = 1^2 = 1
