Answer the Problem, Show your Complete Solutions (This is all about Calculus: Rules of Differentiation). Determine the coefficients a, b, and c of the parabola y = ax² + bx + c that passes through the point (3, 13) and tangent to the line 8x – y = 15 at (2, 1).

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter13: Conic Sections
Section13.1: Circles
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Answer the Problem, Show your Complete Solutions (This is all about Calculus: Rules of Differentiation).

Determine the coefficients a, b, and c of the parabola y = ax² + bx + c that passes through the point (3, 13) and tangent to the line 8x – y = 15 at (2, 1).

I already provided the answers I just need the COMPLETE SOLUTIONS and COMPLETE EXPLANATIONS.

a = 4

b = –8

c = 1

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