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 ( , )
 
 
  
  
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