Answer:
B
Step-by-step 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) = [tex]\frac{1}{4}[/tex]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
