The center of the hyperbola is at .
The focus of the hyperbola is at .
The vertex of the hyperbola is at .
The center is at .
Since The transverse axis is parallel to the -axis.
The distance from the center to focus
is
.
And the distance from the center to vertex
is
.
.
\
. \ \
Therefore, the equation is
. \ \
The asymptotes of the hyperbola are
\The asymptotes of the hyperbola is .
Graph :
\(1) Draw the coordinate plane.
\(2) Draw the equation of the ellipse.
\\
(3) Plot the center, foci and vertices.
\
The hyperbola equation is .
Graph of the hyperbola is
\