Vertical Hyperbola Graphing Calculator: Find Equation, Vertices, Foci & Asymptotes

Calculate Vertical Hyperbola Properties

'a' must be positive.
'b' must be positive.

Quickly graph and understand vertical hyperbolas with our online calculator. Input center, 'a', and 'b' values to find the equation, vertices, foci, and asymptotes instantly for your conic section analysis.

Formula:

The standard equation for a vertical hyperbola centered at (h, k) is:

(y - k)² / a² - (x - h)² / b² = 1

Where:

  • (h, k) = The center of the hyperbola
  • a = The distance from the center to a vertex along the transverse (vertical) axis
  • b = The distance from the center to a co-vertex along the conjugate (horizontal) axis

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