The center of the hyperbola is at
.
The focus of the hyperbola is at
.
The vertex of the hyperbola is at
.
The center at
.
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
.
Apply the formula
.


The asymptotes of the hyperbola can be calculated by the formula
.

.
The asymptotes of the hyperbola is
.
The equation is
.
Substitute
and
in above equation.

Substitute
.




Subtract
from each side


Vertices are
and
.
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
\
.