SOLUTION: A parabola contains the pints 0,0 1,2 and -1,6 What is the equation in standard form

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Question 1107262: A parabola contains the pints 0,0 1,2 and -1,6 What is the equation in standard form
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the general form of a parabola, y=ax%5E2%2Bbx%2Bc
(0,0):0=a%280%29%5E2%2Bb%280%29%2Bc
1.c=0
.
.
(1,2):2=a%281%29%5E2%2Bb%281%29
2.a%2Bb=2
.
.
.
(-1,6): 6=a%28-1%29%5E2%2Bb%28-1%29
3.a-b=6
Add 2 and 3,
a%2Bb%2Ba-b=2%2B6
2a=78
a=4
Now use the equations to solve for b.