Question

Please Help! ASAP!
f(x)=x^2. What is g(x)??????

Answer 1

The first one

Explanation:

g(x) = ax² + bx + c

Point (0,0):

0 = a.0² + b.0 + c

c = 0

Point (2,1):

1 = a.2² + b.2 + c

4a + 2b + c = 1

But c = 0. Then:

4a + 2b = 1

Another point: (- 2, 1):

1 = a.(- 2)² + b.(- 2) + c

4a - 2b = 1

{4a + 2b = 1

{4a - 2b = 1

4a + 2b = 4a - 2b

4a - 4a = - 2b - 2b

- 4b = 0

b = 0

4a + 2b = 1

4a + 2.0 = 1

4a = 1

a = 1/4

The formula is:

g(x) = (1/4)x²

I hope I've helped you.