SOLUTION: Find the quadratic function that fits the set of data points. (-3,-5), (-2,-8), (6,-248)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find the quadratic function that fits the set of data points. (-3,-5), (-2,-8), (6,-248)      Log On


   



Question 721340: Find the quadratic function that fits the set of data points.
(-3,-5), (-2,-8), (6,-248)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the quadratic function that fits the set of data points.
ax^2 + bc + c = y
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Solve for a,b,c:
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(-3,-5) gives: 9a -3b + c = -5
(-2,-8) gives: 4a -2b + c = -8
(6,-248)gives:36a+ 6b + c = -248
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I used a matrix function on my TI-84 to get:
a = -3
b = -18
c = -32
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Equation:
y = -3x^2 -18x - 32
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Cheers,
Stan H.
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