Sinje J. Butler

A parabola is the set of points equidistant from a line, called the directrix, and a fixed point, called a focus. Assume the focus is not on the line. Construct a parabola given a fixed point for the focus and a line segment for the directrix.

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

of a constructed point.

Please see an
animated **GSP file**
to view this construction.

b. Repeat 9a with a trace of the tangent line at the constructed point.

Please **line** for a GSP construction.

c. Use the locus command to generate the parabola from a constructed point.

Please see** locus** for a GSP construction.

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