SOLUTION: Find a quadratic model in standard form for each set value. (0, 3) (1, 10) (2, 19)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find a quadratic model in standard form for each set value. (0, 3) (1, 10) (2, 19)      Log On


   

Question 402260: Find a quadratic model in standard form for each set value.
(0, 3) (1, 10) (2, 19)
Answer by solver91311(24713) About Me  (Show Source):
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You want to derive a function of the form:



That has the elements



in the solution set.

Since ordered pairs in the solution set of a function are , for the first point you can write:



and for the second you can write:



and for the third:



resulting in a system of three linear equations:





Solve the system to get the coefficients for your desired function.

John

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