Given is a line [math] d [/math] and a point [math] F[/math], not on [math]d[/math]. A parabola is the set of all points in the plane that are equidistant from [math]F[/math] (the focus) and [math]d[/math] (the directrix).[br][list][br][*]Drag the blue point M along the directrix to create points from the parabola.[br][*]Click the checkbox to see the construction.[br][*]Drag the Focus and the Directrix to change the parabola.[br][/list]