Hi

4X^2 + Y^2 - 4Y - 32 = 0

4X^2 + (Y-2)^2 - 4 - 32 = 0

4X^2 + (Y-2)^2 = 36

 (Y-2)^2/36 + X^2/9 = 1  

Standard Form of an Equation of an Ellipse is 

where Pt(h,k) is the center and  a and b units the respective distances from

 center right/left and up/down for the vertices



 

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