# How do you find the foci and sketch the hyperbola #x^2/9-y^2/4=1#?

##### 1 Answer

We know that the standard Cartesian form for the equation of a hyperbola with a transverse horizontal axis,

has foci at

If we write the given equation in the same form as equation [1], then it is a simple matter to find the foci:

Now that we have the given equation in the same form, the computation for the foci is trivial:

To graph the equation you will need the vertices:

And you will need the equations of the asymptotes:

Here is a graph of, the equation, the foci, the vertices, and the asymptotes.