# Parabola

## Parabola Formulas

Equation | `x^2 = 2py` | `y^2 = 2px` |
---|---|---|

Orientation | if p > 0 vertical opening up if p < 0 vertical opening down |
if p > 0 horizontal opening right if p < 0 horizontal opening left |

Symmetry axis | y-axis | x-axis |

Vertex-Foci distance | `|p/2|` | `|p/2|` |

Directrix-Foci distance | `|p|` | `|p|` |

Vertex-Directrix distance | `|p/2|` | `|p/2|` |

Eccentricity | `e = 1` | `e = 1` |

## See also

Conic section Equation calculator

Ellipse calculator

Hyperbola calculator

Circle calculator

Conic sections calculators

Geometry calculators

Mathematics calculators