Hi,

conic Forms:

Ellipse is  

Hyperbola opening Up and down is: 

Hyperbola opening right and  left is: 

Parabola opening up(a>0) or down(a<0),  

Parabola opening right(a>0) or left(a<0), 

x^2-2x-4y^2+16y=11

(x-1)^2 - 4(y-2)^2 = 11 + 1 -16

(x-1)^2 - 4(y-2)^2 = -4

 4(y-2)^2 -(x-1)^2 =4

  Hyperbola opening Up and down 

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