\"\"

\

Foci of the ellipse \"\" and \"\"-intercepts are \"\"

\

In this case \"\"-intercepts are co-vertices of the ellipse.

\

Co-vertices are end points of minor axis.

\

Mid point of co-vertices is center of the ellipse.

\

\"\"

\

\"\"

\

The \"\"-coordinate of foci is 0.So the required ellipse is vertical.

\

The standard form of vertical ellipse is \"\".

\

Where \"image\"

\

\"image\"  is length of semi major axis and \"image\" is length of semi minor axis.

\

Center is \"\", vertices \"\"

\

Co-vertices \"\"

\

Foci \"\".

\

Where \"\"

\

 

\

\"\"

\

Foci \"\" = \"\"

\

\"\"

\

Substitute \"\" in above equation.

\

\"\"

\

\"\"

\

Co-vertices \"\" = \"\"

\

\"\"

\

Substitute \"\" in above equation.

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

Vertices of the ellipse are \"\"\"\"

\

Substitute \"\", \"\" and \"\" in standard form.

\

\"\"

\

The equation is\"\"

\

Graph:

\

Draw the coordinate plane.

\

Plot the center, vertices, co-vertices and foci of the ellipse.

\

Sketch the ellipse by using semi major axis length and semi minor axis length.

\

\"\"

\

\"\"

\

The ellipse equation is \"\" and the graph of ellipse is: \ \

\

\"\".