SOLUTION: Find an equation of the parabola of the form y=ax^2+bx+c that passes through the following three points. (1,5),(1,-11),(3,31)

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Question 1177970: Find an equation of the parabola of the form y=ax^2+bx+c that passes through the following three points.
(1,5),(1,-11),(3,31)
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
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Take the general equation of a parabola with coefficients  "a",  "b"  and  "c".

Using the given info, construct three linear equations for these three unknowns "a",  "b"  and  "c".

Then solve the system by any way you can.

You can use a matrix solver of your calculator or any  (free of charge)  of numerous solvers from the Internet.

There is  NOTHING  MORE  to learn from such exercises.