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 vertical.
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.
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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
\.