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Hyperbola equation and graph with center C(x₀, y₀) and major axis parallel to x axis. If the major axis is parallel to the y axis, interchange x and y during your calculation.

Hyperbola Equation Calculator

x0 :
y0 :
a :
b :

Hyperbola Focus F:
Hyperbola Focus F':
Hyperbola Eccentricity :
Asymptotes H'L :
Asymptotes L'H :

 

Hyperbola calculator equations:

   Hyperbola Focus F X Coordinate  =  x₀ + √(a² + b²)
   Hyperbola Focus F Y Coordinate  =  y₀
   Hyperbola Focus F' X Coordinate  =  x₀ - √(a² + b²)
   Hyperbola Focus F' Y Coordinate  =  y₀
   Asymptotes H'L: y=(b/a)x + y₀ - (b/a)x₀
   Asymptotes LH': y=(-b/a)x + y₀ + (b/a)x₀
   Hyperbola Eccentricity  =  √(a² + b²) / a