# The equation for a hyperbola

How do you find an equation for a hyperbola. Need list of steps taken to find an equation for a hyperbola. Solve the following to reinforce my understanding:

1) Vertices (+or-4, 0) and passing thru (8,3)

2) Foci (0,+-9)Center, directrices y = +-4

3) Center (1,-3), vertices (-4,3) and (2,3), foci (-6, 3) and (4,3)

https://brainmass.com/math/calculus-and-analysis/equation-hyperbola-303073

#### Solution Preview

The equation for a hyperbola with semimajor axis parallel to the x-axis and semiminor axis parallel to the y-axis is given by

or, for a center at the point instead of ,

Unlike the ellipse, no points of the hyperbola actually lie on the semiminor axis, but rather the ratio ...

#### Solution Summary

The equation for a hyperbola is given. Vertices, foci and centers are determined.

$2.19