Answer:
D. g(x) = 1/2 × x²
Step-by-step explanation:
we need to pick the function that delivers
g(2) = 2
as the given point shows the coordinates (2, 2).
that means x=2, y=g(x)=2
A. for x=2
1/4 × x² = 1/4 × 2² = 1/4 × 4 = 1
wrong, as we need 2 as result.
B. for x=2
(x/2)² = (2/2)² = 1² = 1
wrong
C. for x=2
2×x² = 2×2² = 2×4 = 8
wrong
D. for x=2
1/2 × x² = 1/2 × 2² = 1/2 × 4 = 2
correct
