How do I graph the ellipse with the equation (x−6)^2/36+(y+4)^2/16=1?

1 Answer
Sep 13, 2014

The center of the ellipse is (6,-4).

The x-axis is the major axis because it has the larger denominator.

The sqrt(36) is 6 so you have to move 6 units right and left from the center, (6+6,-4) and (6-6,-4) for the points (12,-4) and (0,-4).

The y-axis is the minor axis.

The sqrt(16) is 4 so you have to move 4 units up and down from the center, (6,4-4) and (6,-4-4)for the points (6,0) and (6,-8).