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olga55 [171]
2 years ago
5

F(x)=x^2. What is g(x)?

Mathematics
1 answer:
Arturiano [62]2 years ago
8 0

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.

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