# How do you write an equation of an ellipse given endpoints of major axis at (2,12) and (2,-4) and endpoints of the minor axis at (4,4) and (0,4)?

##### 1 Answer

Apr 29, 2017

The equation is

#### Explanation:

The equation of an ellipse with a vertical major axis is

The length of the major axis is

The length of the minor axis is

The center of the ellipse is

The equation of the ellipse is

graph{(y-4)^2/64+(x-2)^2/4=1 [-28.65, 29.11, -14.68, 14.2]}