Answer:
D
Step-by-step explanation:
Ordenered pairs g(x):
(0,0); (2,2); (- 2,2)
g(x) = ax² + bx + c
(0,0)
a.0² + b.0 + c = 0
c = 0
(2,2)
a.2² + b.2 + c = 2
4a + 2b = 2
(- 2,2)
a.(- 2)² + b.(- 2) + c = 2
4a - 2b = 2
4a + 2b = 4a - 2b
2b + 2b = 0
4b = 0
b = 0
4a + 2b = 2
4a = 2
a = 2/4
a = 1/2
g(x) = 1/2x² + 0x + 0
g(x) = 1/2x²
I hope I've helped you.
