Step 1:

\

The equation is \"\".

\

Group the terms.

\

\"\"

\

\"\"

\

Complete the each square.

\

\"\"

\

Compare it to standard form of  the ellipse equation is \"\".

\

Here \"\", so major axis is parallel to \"\"axis.

\

Where,

\

\"\" is the center of the ellipse.

\

\"\" is the length of the semi major axis.

\

\"\" is the length of the semi minor axis.

\

\"\"

\

\"\"

\

\"\"

\

\"\" is the distance between center and focus.

\

\"\".

\

Step 2:

\

The center of the ellipse is \"\".

\

The vertices of the ellipse are \"\".

\

The foci of the ellipse are \"\".

\

The end points of the minor axis is \"\".

\

Graph :

\

(1) Draw the coordinate plane.

\

(2) Plot the center, foci and vertices.

\

(3) Draw the equation of the ellipse.

\

 \"\"

\

Solution :

\

The center of the ellipse is \"\".

\

The vertices of the ellipse are \"\".

\

The foci of the ellipse are \"\".

\

Graph of the ellipse :

\

\"\"