$\"\"$

\

The equation is $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ \ \

\

$\"\"$ . \ \

\

The 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.

\

$\"\"$ \ \

\

$\"\"$ .

\

$\"\"$

\

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.

\

$\"\"$

\

$\"\"$

\

The center of the ellipse is $\"\"$ .

\

The vertices of the ellipse are $\"\"$ .

\

The foci of the ellipse are $\"\"$ .

\

Graph of the ellipse :

\

$\"\"$ .