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