Question 765278: i need help finding the center, vertices, and foci of this equation 9x^2+36(y-2)^2-324=0
Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!
or
this is an ellipse with and ; so, the center is at
( , )
we also know that semi-major axis and semi-minor axis ; so, we have an ellipse with horizontal major axis
vertices:
( , ) =>( , )=>( , )
( , )=>( , )=>( , )
c0-vertices:
( , ) =>( , )=>( , )
( , )=>( , )=>( , )
foci:
The formula generally associated with the focus of an ellipse is
so, and
and
so, foci is at ( , ) and ( , )

|
|
|