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^2-6x+25y^2-100y=-84

(x-3)^2 + 25(y-2)^2 = -84 + 9 + 100

(x-3)^2 + 5(y-5)^2 =25

 Ellipse 

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