Answer
See graph
Work Step by Step
$$x^2-9y^2=9$$
$$\frac{x^2}{9}-y^2=1$$
The center of the hyperbola is (0,0). The four corners of the box are (3,1), (-3,1), (3,-1) and (-3,-1). Draw a dotted box through these points. Then draw two dotted lines through the corners. The vertices of the hyperbola are (3,0) and (-3,0), so plot those points and draw a smooth curve nearing the two asymptotes without touching them.
