This is the write-up for problem #9 on assignment 6.

Let's first take a look at the definition of a parabola.

** Parabola **: The locus of all points in a plane
such that each point on the curve is the same distance from a
given point as it is from a given line.

We can use Geometer's Sketchpad to construct a parabola given a fixed point for the focus and a line (segment) for the directrix.

Click on one of the following links below to view a dynamic presentation of the parabola using GSP:

- The parabola is generated from an animation and trace of a constructed point
- The parabola is generated from an animation and trace of the tangent line and the constructed point
- The parabola is generated from the locus command on GSP from a constructed point or tangent line at that point