SOLUTION: Write a quadratic function that fits each set of points. (0,1) (2,-1) (3,-8)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Write a quadratic function that fits each set of points. (0,1) (2,-1) (3,-8)      Log On


   

Question 809284: Write a quadratic function that fits each set of points. (0,1) (2,-1) (3,-8)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The general quadratic function is



so if the graph of the desired quadratic function passes through (0,1), then the value of the function when the independent variable has a value of zero is 1, in other words:



which is to say



Using the coordinate values from the other two given points write two other three-variable linear equations in a, b, and c so that you create a 3X3 system. Solve the system and you will have the three coefficients for your function.

John

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