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
\.