Question 1003066: Find the equation in standard form of the parabola passing through the points below.
(1,8) (2,3) (4,-31)
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
If (1, 8) is a point on the graph of \ =\ ax^2\ +\ bx\ +\ c) , then ^2\ +\ b(1)\ +\ c\ =\ 8) .
If (2, 3 is a point on the graph of , then ^2\ +\ b(2)\ +\ c\ =\ 3)
If (4, -31) is a point on the graph of , then ^2\ +\ b(4)\ +\ c\ =\ -31)
Simplifying:
Solve the 3X3 system of equations to determine the a, b, and c coefficients of the desired function.
John
My calculator said it, I believe it, that settles it
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