Step 1:.

Observe the graph, the ellipse is horizontal.

Standard form of horizontal ellipse $\"image\"$ .

Where $\"image\"$

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

Center is $\"\"$ .

Center of the ellipse is $\"\"$ .

Step 2:

$\"image\"$ is the distance between center and vertex of the ellipse.

From the graph: One of the vertex is $\"\"$ .

Find the distance between $\"\"$ and $\"\"$ . $\"\"$

$\"\"$

Step 3:

$\"image\"$ is the distance between center and co-vertex point.

From the graph: One of the co-vertex is $\"\"$ .

Find the distance between $\"\"$ and $\"\"$ .

$\"\"$

Substitute the values of $\"image\"$ , $\"image\"$ and $\"\"$ in $\"image\"$ .

$\"\"$

Solution:

The ellipse equation is

$\"\"$