Parabola Properties
Experiment with the following Geogebra file. Then answer these questions:
1. What does the h slider do? That is, how does it affect the graph?
2. What does the p slider do? That is, how does it affect the graph?
3. What does the k slider do? That is, how does it affect the graph?
4. What is the relationship between the length FA and the length AB?
5. If you slide point A so it is on top of V, what variable does the distance FA = FV correspond to?
6. Slide point A so that FA is horizontal (parallel to the directrix). Can you relate FA to the value of a variable now?