The curve y=ax2+bx+c passes through the point ​(1​,

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Question

The curve y=ax2+bx+c passes through the point ​(1​,7​) and is tangent to the line y=6xat the origin. 

Find​ a, b, and c.

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