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.