Answer it correctly, neatly, and comprehensively.  Written answer only.  Determine the coefficients a, b, and c of the parabola ? = ??2 + ?? + ? that passes  through the point (3, 13) and tangent to the line 8? − ? = 15 at (2, 1). Write your  answer on a separate sheet of paper.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 52E
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Answer it correctly, neatly, and comprehensively.  Written answer only. 

Determine the coefficients a, b, and c of the parabola ? = ??2 + ?? + ? that passes 
through the point (3, 13) and tangent to the line 8? − ? = 15 at (2, 1). Write your 
answer on a separate sheet of paper.

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