# Quadratic Surfaces

rename
pasevoza's
version from
2016-09-15 02:27

## Section

Question | Answer |
---|---|

Any two variables (the third undefined) | Cylinder |

3 Positive Coefficients (x^2+y^2+z^2 = 4) | Ellipsoid |

One Negative Coefficient (x^2+y^2 = z^2 + 5) | Hyperboloid (1 Sheet - Open on opposite signed var) HOURGLASS |

Two Negative Coefficients (x^2-y^2-z^2 = 5) | Hyperboloid (2 Sheets - Open on opposite signed var) 2 BOWLS missing center |

1-2 negative coefficient, var = 0 (x^2+y^2 = z^2) | Cone |

x/y have same sign (x^2+y^2 = z) | Elliptic Paraboloid (Opens on linear term +=up, -=down) BOWL |

x^2-y^2 = z have opposite sign | Hyperbolic Paraboloid PRINGLE OR SADDLE |

## Recent badges

## Pages linking here (main versions and versions by same user)

No other pages link to this page. See Linking Quickstart for more info.