Home /
Expert Answers /
Precalculus /
determine-the-equation-of-the-hyperbola-with-center-2-2-a-focus-at-19-2-and-a-vert-pa882

Given in the question the hyperbola with center (?2,?2), a focus at (?19,?2), and a vertex at (?10,?2).

As y coordinates of center, focus, and vertex all are ?2, they lie on the horizontal line y=?2 and general form of such hyperbola is

equation of hyperbola is

where (h,k) is centre

The length of the major axis of the hyperbola is 2a units.

The length of the minor axis of the hyperbola is 2a units.