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Mathematics 25 Online
OpenStudy (magbak):

What are equations for all of the conic sections?

OpenStudy (anonymous):

The standard equation given by ax^2 + by^2 + 2fxy + 2gx + 2hy + c = 0 represents all conic sections

OpenStudy (magbak):

I mean for the circle, the ecllipse, hyperbolas and the parabola.

OpenStudy (imstuck):

Do you need each of them individually? The circle is x^2 + y^2 = r^2. The ellipse is also an x^2 + y^2 equation, but it is x^2 and y^2 over a and b, with a>b always. This ellipse is always needing to equal 1. The hyperbola is x^2 - y^2 over a and b, and the x^2 and y^2 are the terms that mover to eithr the first fraction or the second one, depending upon which hyperbola you are graphing. In an ellipse, the a and b move, and the a is under the x^2 or the y^2, and that one is the one that is the main vertex (major). The parabola is y = x^2, or x = y^2, depending upon which way the parabola opens, either to the side or up or down. If you need help solving or graphing, that's a whole different thing. It's actually quite simple, once you get the hang of it.

OpenStudy (magbak):

yest that is what I said

OpenStudy (magbak):

I just ment like I needed the ecuations only.

OpenStudy (anonymous):

http://math2.org/math/algebra/conics.htm This may help you!

OpenStudy (imstuck):

Ok then! The circle is x^2 + y^2 = r^2. The ellipse is x^2/a (or b) + y^2/b (or a) = 1. The hyperbola is x^2/a ( or y^2 over a) - y^2/b (or x^2 over b) = 1. The parabola is y = x^2 or x + y^2, depending upon which way it opens. All of these are centered at the origin.

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