# Quadratic Surfaces

rename
sogeyuse's
version from
2017-10-01 21:05

## Section

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

Any two variables (the third undefined) | Cylinder |

3 Positive Coefficients (x2+y2+z2 = 1) | Ellipsoid |

One Negative Coefficient = 1 (x2+y2-z2 = 1) | Hyperboloid (1 Sheet - Open on opposite signed var) |

Two Negative Coefficients = 1 (-x2-y2+z2 = 1) | Hyperboloid (2 Sheets - Open on opposite signed var) |

1 negative coefficient = 0, (x2+y2-z2 = 0) | Cone |

x2+y2=z, x/y have same sign | Elliptic Paraboloid (Opens on linear term +=up, -=down) |

x2-y2=z, x/y have opposite sign | Hyperbolic Paraboloid (Think of PRINGLES) |

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

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