Hyperbola Formulas

Equation `x^2 / a^2 - y^2 / b^2 = 1` `y^2 / a^2 - x^2 / b^2 = 1`
Orientation horizontal
(opening left and right)
(opening up and down)
Focal axis x-axis y-axis
Axe non focal y-axis x-axis
Distance Centre - Foyer `c = sqrt(a^2+b^2)` `c = sqrt(a^2+b^2)`
Center - Foci distance a b
Center - Directrix distance `d = a^2/c` `d = b^2/c`
Focal distance (FF') 2c 2c
Eccentricity `e = c/a` `e = c/b`

See also

Conic section Equation calculator
Ellipse calculator
Parabola calculator
Circle calculator
Conic sections calculators
Geometry calculators
Mathematics calculators