# What are the vertices and foci of the ellipse #9x^2-18x+4y^2=27#?

##### 1 Answer

Jan 22, 2017

The vertices are

The foci are

#### Explanation:

Let's rearrange the equation by completing the squares

Dividing by

This is the equation of an ellipse with a vertical major axis

Comparing this equation to

The center is

The vertices are A

B

To calculate the foci, we need

The foci are F

graph{(9x^2-18x+4y^2-27)=0 [-7.025, 7.02, -3.51, 3.51]}