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Equation of a tangent

What is the equation of the line that touches, but does not pass through, a function in the form y = x2 + bx + c ?


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Algebra and Calculus Sketches
These Geometer's SketchPad files can be used to show the transformation of a secant line into a tangent line as the points shared by the parabola and line become closer.

Linear Functions Tangent to Their Product
This exploration asks you to find a curve that is tangent to a product of two other curves.

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