**A parabola is the set of points
equidistant from a line, called the directrix, and a fixed **
**point called the focus. With
a few construcions one creates a setup like the following:**
** If we allow the midpoint of the horizontal
line to move from left to right, a parabolic pattern is created
by the attached midpoint's segment.**

**Click here to view the image**

**One should notice the following
occurs**

**When one uses a trace feature one can explicitly
see the parabola.**

**Click here to see an
additional trace feature trace in action**

**You should notice something like the following**

**Finally we examine
the Locus command and watch how a movement of a few basic**
**objects drags the parabola anywhere.**

**Return**