Question

Find the standard form of the equation of the hyperbola with the given characteristics.
foci= (+/-3,0)
asymptotes= +/-2x

Answer 1

asymptotes: y=\[\pm2x\]

Answer 2

a^2+b^2=c^2 for a hyperbola.

c=3 b/a=2 b^2=4a^2
a^2+4a^2=9
a^2=9/5
b^2=36/5
Equation:
\[\frac{x ^{2}}{\frac{9}{5}}-\frac{y ^{2}}{\frac{36}9}\]

Answer 3

=1 of course