SOLUTION: Hello, I need to find a quadratic function in the form Y=ax^2+bx+c that passes through the points (1,359),(3,281),(4,194) and evaluate that function at x=5? Thanks for the help!

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: Hello, I need to find a quadratic function in the form Y=ax^2+bx+c that passes through the points (1,359),(3,281),(4,194) and evaluate that function at x=5? Thanks for the help!      Log On

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Question 201192: Hello, I need to find a quadratic function in the form Y=ax^2+bx+c that passes through the points (1,359),(3,281),(4,194) and evaluate that function at x=5? Thanks for the help!
Answer by solver91311(12118) About Me  (Show Source):
You can put this solution on YOUR website!




where and :



and where and :



and where and :



Now you have 3 linear equations in , , and . Solve the system for your set of three coefficients.

Once you have your three coefficients, substitute them into



Then substitute 5 for and do the arithmetic.

John