Suppose are such that the curve is tangent to at and is also tangent to at

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Suppose a,b,ca,b,c are such that the curve y=ax2+bx+cy=ax^2+bx+c is tangent to y=3x−3y=3x-3 at (1,0)(1,0) and is also tangent to y=x+1y=x+1 at (3,4)(3,4), then the value of (2a−b−4c)(2a-b-4c) equals .....

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