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.