You may want to review easier equations of hyperbolas and equations of ellipses first.

Just like with ellipses, hyperbolas can be centered elsewhere
than at the origin. For example, consider (*x* +
3)^{2} / 36 − (*y* + 2)^{2} / 25
− 1 = 0. Just like with an ellipse, the center is (−3,
−2). Just like with a hyperbola centered at the origin,
it's vertical, its radius is 6 (the square root of 36) and its
asymptotic slope is 5 ⁄ 6.