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.