SOLUTION: find the quadratic which passes through the point (0.0),(1,1),(2,8). determine the answer by solving three equation in three unknown

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Question 950291: find the quadratic which passes through the point (0.0),(1,1),(2,8). determine the answer by solving three equation in three unknown
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the quadratic equation,
y=fx%5E2%2Bgx%2Bh
Now input each point to get an equation,
0=f%280%29%2Bg%280%29%2Bh
h=0
So now the final two equations only will have f and g.
1=f%281%29%2Bg%281%29
1.f%2Bg=1
.
.
8=f%284%29%2Bg%282%29
4f%2B2g=8
2.2f%2Bg=4
Subtract eq. 1 from eq. 2,
2f%2Bg-f-g=4-1
f=3
So then,
3%2Bg=1
g=-2
.
.
.
y=3x%5E2-2x
y=x%283x-2%29