SOLUTION: find values of a, b, and c such that the graph of the polynomial p(x)=ax^2+bx+c passes through the points (1,2), (-1,6), and (2,3).

Question 796530: find values of a, b, and c such that the graph of the polynomial p(x)=ax^2+bx+c passes through the points (1,2), (-1,6), and (2,3).

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find values of a, b, and c such that the graph of the polynomial p(x)=ax^2+bx+c passes through the points (1,2), (-1,6), and (2,3).
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Use ax^2 + bx + c = y
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Using (1,2) you get:: a + b + c = 2
Using (-1,6) you get: a - b + c = 6
Using (2,3) you get: 4a + 2b + c = 3
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Using a matrix function on my TI-84 I get:
a = 1
b = -2
c = 3
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Cheers,
Stan H.
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