# How do you write an equation of an ellipse given the major axis is 20 units long and parallel to the y-axis and the minor axis is 6 units long, center at (4,2)?

##### 1 Answer

Jan 27, 2017

The Cartesian form of the equation of an ellipse with a vertical major axis is

where

#### Explanation:

Given that the center is

Given that the major axis is 20 units, substitute 10 for "a" into equation [2]:

Given that the minor axis is 6 units, substitute 3 for "b" into equation [3]:

Equation [4] is specified equation. The following graphs is ellipse with the center and the end points of the major and minor axes plotted.