How do you find the center and vertices and sketch the hyperbola #y^2/9-x^2/1=1#?
Please see the explanation.
The center of a hyperbola with an equation of the general form:
is the point
In the given equation, h and k are obviously 0, therefore, the center is
Referring, again, to equation  the vertices are located at the points:
In the given equation,
Here is a graph of the hyperbola: