Parabola with a Trace

by

Rob Walsh

 

A parabola is the set of points equidistant from a line, called the directrix, and a fixed point, called the focus.

Construct a parabola given a focus and directrix.

a. Use an Action Button to generate the parabola from an animation and trace of a constructed point.

b. Repeat the construction with a trace of the tangent line at the constructed point.

c. Use the locus command to generate the parabola from a constructed point or the tangent line at that point.

 

 

 

 

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