Construction of a Parabola

By Mary Negley

 

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.

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