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]}