The foci of the ellipses are and
.
The vertex of the ellipse is .
Since the -coordinate of vertices and focus are same, the ellipse is horizontal.
The standard form of ellipse is .
where is the center of the ellipse,
is the length of the semi major axis and
is the length of the semi minor axis.
The distance between center and vertex is .
The distance between center and focus is .
The mid point of foci is center of the ellipse.
\The center of ellipse .
The length of major axis is the distance between center and vertex
.
.
is the distance between center
and focus
.
.
In ellipse, .
.
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
.
Sketch the ellipse by using semi major and semi minor axis lengths.
\The equation of ellipse is .
Graph of the ellipse is
\.