Answer
See below
Work Step by Step
Given $100y^2-36x^2=3600$
Rewrite the equation in standard form: $\frac{y^2}{36}-\frac{x^2}{100}=1$
Note that $a=6, b=10$. The transverse axis is vertical. The vertices are at $(0,\pm 6)$.
The foci are at $(0,\pm 2\sqrt 34)$. The asymptotes are $y=\pm \frac{6}{10}x$
Draw the hyperbola.
