Graphing Hyperbolas I know that a Hyperbola is in the form of:
$$\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1$$
But how would I graph it? I know that a Hyperbola has two asymptotes that the graph gets infinitely close to but will never touch, is there a way to find the asymptotes with that equation? and is the asymptotes the only thing you need to graph a hyperbola?

To add to Kaster's answer, there is a handy construction elaborated in this link.
In the form 
$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$ 
the hyperbola has its fundamental rectangle with corners at $(0,b), (0,-b), (a,0), (-a,0)$ and the diagonals of this rectangle are the asymptotes. Points $(a,0), (-a,0)$ are the vertices. Knowing the asymptotes and the vertices, the hyperbola is defined unambiguously. If you want to have a more precise graph when drawing by hand, you may want to calculate additional points for the hyperbola, though.

Now, in the form
$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$ 
this whole construction is simply shifted $h$ units in positive $x$ direction and $k$ units in positive $y$ direction.
The most general form
$A_{xx}x^2 + 2A_{xy}xy + A_{yy}y^2 + 2B_x x + 2B_y y + C = 0$
is a bit more problematic, though, since the fundamental triangle is rotated.
