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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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  • $\begingroup$ Apostol's Calculus has a very nice section on conics. $\endgroup$ – Pedro Tamaroff Aug 10 '13 at 0:23
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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

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  • $\begingroup$ $\ddot\smile +$ $\endgroup$ – Namaste Aug 10 '13 at 0:23
  • $\begingroup$ @amWhy: I have done nothing Amy up to this moment. :..( $\endgroup$ – mrs Aug 10 '13 at 0:25
  • $\begingroup$ But that's not true, Babak. You have done a lot at Math.SE...and you will continue to be a vital contributor ;-) $\endgroup$ – Namaste Aug 10 '13 at 0:32
  • $\begingroup$ @amWhy: Thanks. I mean yesterday. :-) $\endgroup$ – mrs Aug 10 '13 at 0:35
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http://www.youtube.com/watch?v=qzDsAudvBao&list=PL0G-Nd0V5ZMocqOkonFCUrazXO8I1EwwY This person gives a lot of examples in video.

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A good source which is a little more advanced is Companion to Concrete Mathematics by Melzak, first chapter.

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