Construction of a Parabola
For this exploration, I will construct a parabola, which is by definition the set of points equal distance from a directrix (a line) and a focus (a fixed point).
First I need a directrix with a point labeled “Drag Me” on it and a focus, which is not located on the directrix.
Click here to view a GSP sketch of a parabola generated from an animation and trace of a constructed point.
Click here to view the previous GSP sketch with a trace of the tangent line at the constructed point.