SOLUTION: Describe whether a quadratic model exists for each set of values. If so, write the model. f(-2) = 16, f(0)=0, f(1)=4. How do I work this equation out?

Question 708798: Describe whether a quadratic model exists for each set of values. If so, write the model. f(-2) = 16, f(0)=0, f(1)=4. How do I work this equation out?
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
Yes. Quadratic model can be used for those values, because those are three data points, and that is the minimum necessary for a quadratic function. Using those dependent and independent pairs, you can make three equations and the unknown variables will be the three coefficients, a, b, and c.
SYSTEM OF EQUATIONS

Some arithmetic needs to be taken care of before solving the system.
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