The general form of hyperbola is .
The eccentricity of hyperbola is .
When the value of is closed to
then
and
.
The shape of the hyperbola is very narrow because the slopes of asymptotes are closed to .
As the value of is increases the opening gets bigger.
When the value of is closed to
, the shape of the hyperbola is very narrow because the slopes of asymptotes are closed to
.
As the value of is increases the opening gets bigger.