<PRE><B>Question 522737</B>
how do i find the equation of the parabola, y=ax^2+bx+c, that passes through the following three points : (-2,40),(1,7),(3,15)?
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Substitute those value for x and y.
The solve the tree equations for a,b,c.
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ax^2  +  bx  + c  =  y
a(4)  +  b(-2)+c  = 40
a(1)  +  b(1) +c  =  7
a(9)  +  b(3) +c  =  15
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I used a matrix method to solve the 3 equations and got:
a = 3 
b = -8
c = 12
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Equation:
y = 3x^2-8x+12
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Cheers,
Stan H.
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