Here is the trick you probably did not think of.  You
can divide a numerator and a denominator by the same
number without changing the value:




Then cancel:







It is now in standard form 



,  

, 

Since the y-term comes first, it opens upward and downward,
so a goes upward and downward

a is approximately .6 and b is approximately 1.6, draw the
defining rectangle with these corner points: 

(b,a), (b,-a), (-b,a), (-b,-a)




Then draw and extend the diagonals of the rectangle, which
will be the asymptotes of the hyperbola:




Then sketch in the hyperbola:


Edwin