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?

As you have said, the equation of a hyperbola is $$\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1$$ The distance between the vertices is $2a$. The distance between the foci is $2c$.
A hyperbola opening left/right (has a horizontal transverse axis) and center at $(h, k)$ has one asymptote with equation $y = k + \frac{b}{a}(x - h)$ and the other with equation $y = k - \frac{b}{a}(x - h)$. A hyperbola with a vertical transverse axis and center at $(h, k)$ has one asymptote with equation $y = k + \frac{a}{b}(x - h)$ and the other with equation $y = k - \frac{a}{b}(x - h)$.
