find values for the coefficients a, b, and c so the parabola f(x) = ax2 + bx + c goes through point (1,4) and is tangent to the line y = 9x – 13 at the point (3,14)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 31E
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Help find values for the coefficients a, b, and c so the parabola f(x) = ax2 + bx + c goes through point (1,4) and is tangent to the line y = 9x – 13 at the point (3,14)

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