Question 966729
Complete the square in x and y.
{{{x^2-y^2-2x-4y-4=0 }}}
{{{(x^2-2x+1)-(y^2+4y+4)-4=1-4}}}
{{{(x-1)^2-(y+2)^2=1}}}
Hyperbola
*[illustration hyp2.JPG].
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Center ({{{1}}},{{{-2}}})
Vertices ({{{0,{{{-2}}}) ({{{2,{{{-2}}})
Asymptotes : 
{{{y=(1/1)(x-1)-2}}} and {{{y=-(1/1)(x-1)-2}}}
{{{y=x-3}}} and {{{y=-x-1}}}