\"\"

\

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 \"\".