Answer
See graph
Work Step by Step
$$9x^2-4y^2=36$$
$$\frac{x^2}{4}-\frac{y^2}{9}=1$$
This is a hyperbola with center (0,0). The x-intercepts are (2,0) and (-2,0). The coordinates of the box are (2,3), (-2,3), (2,-3), and (-2,-3). Draw two asymptotes with dotted lines through the corners. Draw two smooth curves originating at (2,0) and (-2,0) that approach but do not intersect the dotted asymptotes.
