The focus of the ellipse is .
The vertices of the ellipse are ,
\
The -coordinate of vertices and focus are same, so the ellipse is vertical.
The standard form of vertical ellipse is .
where is the center of the ellipse,
is the length of the semi minor axis and
is the length of the semi major axis.
The center is a mid point of two vertices.
\The distance between center and vertex is .
The distance between center and focus is .
The mid point of and
is center of ellipse
The center of ellipse .
The length of major axis 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 ,
.
Sketch the ellipse by using semi major and semi minor axis lengths.
\\
The equation of ellipse is .