Question 101208: how do you find a and b and c of a quadratic equation? I have data that is:
when x is 0, y is 1,.
when x is 1, y is 2.
when x is 2, y is 4.
when x is 3, y is 7.
when x is 4, y is 11.
when x is 5, y is 16.
and I have to write an equation for this data, which is quadratic I think. I don't know how to find a and b and c of the equation.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! how do you find a and b and c of a quadratic equation? I have data that is:
when x is 0, y is 1,.
when x is 1, y is 2.
when x is 2, y is 4.
when x is 3, y is 7.
when x is 4, y is 11.
when x is 5, y is 16.
and I have to write an equation for this data, which is quadratic I think. I don't know how to find a and b and c of the equation.
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If it is quadratic, y = ax^2+bx+c and you need to find a,b, and c.
So,substitute x,y values from above to form 3 equations in a,b,c.
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(0,1) implies 1 = 0a+0b+c
(1,2) implies 2 = a + b + c
(2,4) implies 4 = 4a+2b+c
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Solve that system of equations by any means you know how.
I get a=(1/2), b=(1/2), c=1
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Cheers,
Stan H.
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