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^2-8x-4y=-12

(x-4)^2 - 4y = -12 + 16

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

  Parabola opening Up

 

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