Question 671164
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Hi,
conic Forms:
Ellipse is {{{(x-h)^2/a^2 + (y-k)^2/b^2 = 1 }}} 
Hyperbola opening Up and down is: {{{(y-k)^2/b^2 - (x-h)^2/a^2 = 1}}}
Hyperbola opening right and  left is: {{{(x-h)^2/a^2 - (y-k)^2/b^2 = 1}}}
Parabola opening up(a>0) or down(a<0), {{{y=a(x-h)^2 +k}}} 
Parabola opening right(a>0) or left(a<0), {{{x=a(y-k)^2 +h}}}
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
{{{ (y-2)^2/1 -(x-1)^2/4 =1}}}  Hyperbola opening Up and down