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