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Tangent Lines without Derivatives for Quadratic and Cubic Equations

William Carroll 

March 2009, Volume 102, Issue 7, Page 516

Abstract:
In the quadratic equation, y = ax<sup>2</sup> + bx + c, the equation y = bx + c is identified as the equation of the line tangent to the parabola at its y–intercept. This is extended to give a convenient method of graphing tangent lines at any point on the graph of a quadratic or a cubic equation.

Keywords:
Article
Algebra
Calculus and Higher Level Mathematics
Connections / Applications
Grades 9-12