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.