# Quadratic locus equation

- Author:
- Zoltán Kovács

- Topic:
- Parabola

A quadratic locus equation in GeoGebra. We construct the parabola by using the synthetic definition.

- In Steps 1 and 2 line AB (denoted by "a") and point C are defined.
- In Step 3 we put point D on line a. Then in Steps 4-5-6 point E is constructed by Euclidean steps.
- Now the locus of point E while point D is moving on line a, is to be defined (Step 7).
- Finally in Step 8 we obtain the equation of the locus.