An equation of a hyperbola is given.
y^2/36 - x^2/64 = 1
(a) Find the vertices, foci, and asymptotes of the hyperbola.(Enter your asymptotes as a comma-separated list of equations.)
| vertex | (x, y) | = | | | (smaller y-value) |
| vertex | (x, y) | = | | | (larger y-value) |
| focus | (x, y) | = | | | (smaller y-value) |
| focus | (x, y) | = | | | (larger y-value) |
| asymptotes | | | | | |
(b) Determine the length of the transverse axis.
(c) Sketch a graph of the hyperbola.
