Find the value of the parameters a,b, and c in the parabola with equation f(x) = ax^2+bx+c such that the slope of the tangent at x=-1 is 5, and the slope of the tangent at x=3 is 3.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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Question: Find the value of the parameters a,b, and c in the parabola with equation f(x) = ax^2+bx+c such that the slope of the tangent at x=-1 is 5, and the slope of the tangent at x=3 is 3.

You would save my life if you can answer this question! I got the values of a and b but am really confused on how to get parameter c.

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