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