Algebra Map (Photo credit: Presley*)

Conic Sections
(see also Conic Sections) |
**Point**
x^{^2} + y^{^2} = 0 |
**Circle**
x^{^2} + y^{^2} = r^{^2} |

**Ellipse**
x^{^2} / a^{^2} + y^{^2} / b^{^2} = 1 |
**Ellipse**
x^{^2} / b^{^2} + y^{^2} / a^{^2} = 1 |
**Hyperbola**
x^{^2} / a^{^2} – y^{^2} / b^{^2} = 1 |

**Parabola**
4px = y^{^2} |
**Parabola**
4py = x^{^2} |
**Hyperbola**
y^{^2} / a^{^2} – x^{^2} / b^{^2} = 1 |

For any of the above with a center at (j, k) instead of (0,0), replace each x term with (x-j) and each y term with (y-k) to get the desired equation. |

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Tags: Algebra, Andrew Hacker, Conic section, Education, Hyperbola, Lie algebra, Math, Parabola

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