Answer
See graph
Work Step by Step
$$4y^2-25x^2=100$$
$$\frac{y^2}{25}-\frac{x^2}{4}=1$$
The center of the hyperbola is (0,0). The four corners of the box are (2,5), (-2,5), (2,-5) and (-2,-5). Draw a dotted box through these points. Then draw two dotted lines through the corners. The vertices of the hyperbola are (0,5) and (0,-5), so plot those points and draw a smooth curve nearing the two asymptotes without touching them.
