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.
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Apostol's Calculus has a very nice section on conics. – Pedro Aug 10 '13 at 00:23
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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:
Parabolas
Ellipses and their equations
More about Ellipses
Hyperbolas and their equations
Mikasa
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But that's not true, Babak. You have done a lot at Math.SE...and you will continue to be a vital contributor ;-) – amWhy Aug 10 '13 at 00:32
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http://www.youtube.com/watch?v=qzDsAudvBao&list=PL0G-Nd0V5ZMocqOkonFCUrazXO8I1EwwY This person gives a lot of examples in video.
Gowtham
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A good source which is a little more advanced is Companion to Concrete Mathematics by Melzak, first chapter.
Eric Auld
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