The center of the ellipse is .
The vertex of the ellipse is .
The point on the ellipse is .
The - coordinate of vertex and center 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 .
.
The length of major axis is the distance between center and vertex.
\The ellipse contains the point .
Let the point is .
Substitute the point ,
and the center
in standard form of ellipse.
Substitute the values of ,
and
in standard form of ellipse.
The equation of ellipse is .
Graph the equation .
Plot the center point .
Plot the vertex points and
.
Plot the two points above and below the center and
.
Since the major axis length is equal to the minor axis length, the curve represents a circle.
\The equation of ellipse is .
The graph of the equation is :
\Since the major axis length is equal to the minor axis length, the curve represents a circle.