$\"\"$

\

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

\

Length of the major axis is $\"\"$ .

\

Since the $\"\"$ -coordinate of vertices and focus are same, the ellipse is horizontal.

\

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

\

where $\"\"$ is the center of the ellipse, $\"\"$ is the length of the semi major axis and $\"\"$ is the length of the semi minor axis.

\

The distance between center and vertex is $\"\"$ .

\

The distance between center and focus is $\"\"$ .

\

$\"\"$

\

The mid point of foci is center of the ellipse.

\

$\"\"$

\

The center of ellipse $\"\"$ .

\

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

\

$\"\"$

\

$\"\"$ .

\

In ellipse: $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

Substitute $\"\"$ , $\"\"$ and $\"\"$ in standard form of ellipse.

\

$\"\"$

\

$\"\"$ .

\

The equation of ellipse is $\"\"$ .

\

$\"\"$

\

Graph: \ \

\

Graph the equation $\"\"$ .

\

Plot the center point $\"\"$ .

\

Plot the foci points $\"\"$ and $\"\"$ .

\

Plot the vertex points $\"\"$ and $\"\"$ .

\

Plot the two points above and below the center $\"\"$ and $\"\"$ .

\

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

\

$\"\"$

\

$\"\"$

\

The equation of ellipse is $\"\"$ .

\

Graph of the ellipse is

\

$\"\"$ .