Hyperbola Calculator
What is a Hyperbola?
A hyperbola is a conic section formed when a plane intersects a double cone in a way that creates two separate curves. It consists of two separate branches that open in opposite directions and approach two diagonal asymptotes. The hyperbola is defined by the set of all points in a plane where the difference of the distances from two fixed points (foci) is constant.
How to Calculate Hyperbola Parameters
- Enter the value of ‘a’ in the first input field. This represents the distance from the center to the vertex of the hyperbola.
- Input the value of ‘b’ in the second field. This represents the distance from the center to the co-vertex.
- Click the calculate button to generate results including vertices, foci, eccentricity, and asymptotes.
- Review the graphical representation that automatically appears below the calculations.
- Examine the detailed results section which provides key parameters of the hyperbola.
- Note the asymptotes equations which show the lines the hyperbola approaches but never touches.
- Observe the eccentricity value which indicates how “stretched out” the hyperbola is from a circle.
- Check the coordinates of the foci which are essential points in defining the hyperbola’s shape.