Observe the graph: The ellipse is horizontal.
\Standard form of horizontal ellipse .
Where
is length of semi major axis and
is length of semi minor axis.
Center is .
Center of the ellipse is .
Find the value of .
is the distance between center and vertex of the ellipse.
From the graph: One of the vertex is .
Find the distance between and
.
.
Find the value of .
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 ,
and
in
.
.
The ellipse equation is .