I'm looking for something that explains them simply or something that has a lot of examples. The online course I'm taking doesn't explain them in much detail and I haven't managed to find something that explains it better. Mainly parabolas and hyperbolas. For parabolas, my course uses the formula $(x-h)^2 = 4p(y-k)$, so while I did find a useful video on KhanAcademy, on the subject, he uses a different formula and that just left me more confused.
I think the following book could be a good reference:
Calculus With Analytic Geometry by R.A.Silverman
Although it is an old one but it works yet. See the chapter $8$. You will see:
Ellipses and their equations
More about Ellipses
Hyperbolas and their equations
http://www.youtube.com/watch?v=qzDsAudvBao&list=PL0G-Nd0V5ZMocqOkonFCUrazXO8I1EwwY This person gives a lot of examples in video.
A good source which is a little more advanced is Companion to Concrete Mathematics by Melzak, first chapter.