SOLUTION: i need help finding the center, vertices, and foci of this equation 9x^2+36(y-2)^2-324=0

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!

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 (,)

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