Question

Find the center, vertices, foci, and asymptotes of the hyperbola. x^2/9 - y^2/16=1

Answer 1

Formula for hyperbola is:
\[(x-h)^2/a^2 - (y-k)^2/b^2 =1 \]
Center is (0,0) because (h,k) is the center.

Answer 2

Asymptotes will be
+ b/a * x
and
- b/a * x


Vertices: (+/- a, 0)

Foci: (+/- c, 0) where c^2 = a^2+b^2