Step 1:

\

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

\

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

\

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

\

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

\

\

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

\

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

\

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

\

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

\

$\"\"$ .

\

Step 2:

\

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 $\"\"$ .

\

Step 3:

\

Graph the ellipse.

\

Graph the equation $\"\"$ .

\

Plot the center point $\"\"$ .

\

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

\

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

\

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

\

$\"\"$

\

Solution :

\

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