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 ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> 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


   

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(24713) 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