![]() In GSP literature, thispoint is called a trace point. Then use Construct Menu or simply right click: This will create theintersection point. Now select both the perpendicular bisectorAND the perpendicular line that containsthe moving point on the directrix. This line representsthe perpendicular bisector of the line segment that connects the focusand the moving point on the directrix. Use Construct Menu to draw a perpendicular line. Select the segment and create its midpoint. Use Construct Menu to draw a line segment. Now select both the focus and the movingpoint on the directrix. Click the point tool to draw a point thatis NOT on the directrix. Now select both the line and the point.Construct a perpendicular line using the Construct Menu. ![]() This will create a point on the directrixwhich will be animated later. Select the line and open the Construct Menu, and choose Point on Object. (Remember from basic geometry thatyou need at least two distinct points todraw a line). After selecting those points, use the Construct Menu to create a line that passes through thosepoints. Here is an outline of constructing a parabolain GSP: In the previous lesson, we learned thatthe extremum point of a parabola is calledits VERTEX. The line is calledthe DIRECTRIX of the parabola, and the point is calledthe FOCUS. We will also learnhow to construct the locus of vertices L(x)of a moving parabola P(x) = a x^2 + b x +c, when a and c fixed while b is varying.Ī parabola is the set of points that areequidistant from a fixed line and a fixedpoint not on the line. Todaywe will analyze parabola's auxiliary elements:Directrix, Focus, Vertex. In the previous lesson, we studied parabolaand its graphs for different cases.
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