What is a parabola and how do I graph one?

In this video, I start with the definition of a parabola as the set of all points equidistant from the focus and directrix. I then answer the following questions:

1. What is a parabola?
2. What is the equation for a parabola?
3. How do I find the focus, directrix and graph the parabola given the equation?
4. How do I find the equation for the parabola given the focus and the directrix?



00:00 Introduction
00:39 Graphing using the directrix and focus
07:15 Finding the equation of the parabola
13:03 Equations for the parabola
14:42 Graphing using the equation- ex1
19:02 Graphing ex2
23:06 Constructing the equation ex1
27:25 Constructing the equation ex2
29:46 Synopsis