\ \
The center of the ellipse is . \ \
The vertex of the ellipse is .
The focus of the ellipse is .
Since -coordinate of vertices and focus are same, the ellipse is vertical. \ \
The standard form of ellipse is , where
is the center of the ellipse,
is the length of the minor axis and
is the length of the ajor axis. \ \
The distance between center and vertex is . \ \
The distance between center and focus is . \ \
. \ \
\ \
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
. \ \
\ \
\ \
The equation of ellipse is . \ \
The graph of the ellipse is \ \
\.