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