Parabola
Constructing a Parabola
1. Construct a directrix using a line AB
2. Using Point F as a focus point and place a point Q on the directrix and create segment FQ
3. In order to find the segment equidistant to F, use a perpendicular bisector of the line FQ and then find the perpendicular line to line AB and Point Q
4. Find the intersection point of the lines that connect to Q and the perpendicular bisector to line FQ and label it z.
5.Using the object properties add color to point z and turn on the trace option
6. Add animation and it'll trace a parabola
Why this makes a Parabola
1.The relationship between point F and segment AB has to show that they're equidistant from each other
2.Showing that they're equidistant will show a relationship that has coordinates equal in length with a given origin
3.When you construct a perpendicular bisector for segment PQ, it will give you an equdistant length for segment PQ
4.With a perpendicular line for point Q and segment AB you'll find a point of intersection z. This will formulate an isosceles tringle and by the definition of the side angle side theorem it shows that the endpoints are equidistant form each other.