The center of the ellipse is
.
The focus of the ellipse is
.
The vertex of the ellipse is
.
The
-coordinate of vertices and foci are same, so the ellipse is horizontal.
The standard form of ellipse is
.
where
is the center of the ellipse,
is the length of the major axis and
is the length of the minor axis.
The distance between center and vertex is
.
The distance between center and focus is
.
.
is the distance between center and vertex.

is the distance between center and focus.

Now
.

Substitute the values of
,
and
in standard form of ellipse.

The equation of ellipse is
.
Graph the ellipse.
\Graph the equation
.
Plot the center point
.
Plot the focus points
and
.
Plot the vertex points
and
.
Plot the two points above and below the center
and
.

The equation of ellipse is
.
Graph of the ellipse is
\