Question

F(x) = х2. What is g(x)?

Answer 1

C

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.