The equation is
.
Complete the squares.
\
\
Divide the equation on both sides with
.

\
Compare it to standard form of the ellipse equation is
.
Here
, so major axis is parallel to
-axis.
Where,
is the center of the ellipse.
is the length of the semi major axis.
is the length of the semi minor axis.
.
.
is the distance between center and focus.

Distance between center and focus is
.
\
The center of the ellipse is
.
The vertices of the ellicpse is at
.
The foci of the ellicpse is at
.
Graph :
\(1) Draw the coordinate plane.
\(2) Plot the center, foci and vertices.
\(3) Draw the equation of the ellipse.
\.gif\")
The center of the ellipse is
.
The vertices of the ellipse is at
and
.
The foci of the ellipse is at
and
.
Graph of the ellipse is
\.gif\")