Enter the values for ‘a’, ‘b’, ‘h’, and ‘k’ into the calculator to graph your hyperbola.
Hyperbola Graphing Formula
The following formula is used to graph the hyperbola:
((x - h)^2 / a^2) - ((y - k)^2 / b^2) = 1
Variables:
- h: Horizontal Offset
- k: Vertical Offset
- a: Semi-major axis
- b: Semi-minor axis
To graph the hyperbola, adjust the values of ‘a’, ‘b’, ‘h’, and ‘k’ accordingly.
What is a Hyperbola?
A hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations that satisfy its conditions. In algebraic terms, it is the locus of all points in the plane whose distances to two fixed points (the foci) differ by a constant. A hyperbola has two disconnected curves called its branches which are mirror images of each other and resemble two infinite bows.
Hyperbolas have various applications in physics, astronomy, and engineering. They describe the paths of objects in certain gravitational fields and the shapes of certain optical mirrors and antennas.
How to Graph a Hyperbola?
To graph a hyperbola, follow these steps: