SOLUTION: Find the equation of a parabola that passes through the points (-2,3), (-1,1) and (1,9).

SOLUTION: Find the equation of a parabola that passes through the points (-2,3), (-1,1) and (1,9).

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Question 318422: Find the equation of a parabola that passes through the points (-2,3), (-1,1) and (1,9).
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The general equation for a parabola is,

1.(-2,3):
2.(-1,1):
3.(1,9):
Solve for a,b,c using elimination, substitution, or matrix methods.
Solve for b by subtracting eq. 2 and eq. 3,

Then substituting for b, subtract eq. 3 from eq. 1,

Finally from eq. 3,

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