The hyperbola equation is
.
Compare the above equation with standard form of hyperbola with horizontal transverse axis is
.
and
.

.
Center :
,
Vertices :
\ 
and
.
Foci :
,
and
.
Asymptotes :
.
.
The hyperbola equation is
.
Solve for
.

.
Make a table of values to sketch the hyperbola.
\![]() | \
\
| \
![]() | \
![]() | \
\
| \
\
| \
![]() | \
\
| \
\
| \
Graph :
\Graph the center, vertices, foci, and asymptotes.
\Draw a coordinate plane.
\Plot the points obtained in the table.
\Sketch the hyperbola.
\
Graph of the hyperbola
:
.