Notice that the center and the vertex lie in one vertical line x = 1.

Hence, the major axis is vertical line x = 1 parallel to y-axis.


Next, the major semi-axis length is the distance from the ellipse center to the vertex, i.e. 7-4 = 3 units.

Further, since the eccentricity is , the minor semi-axis is   = 2 units,  and the ellipse is taller than wide.


Thus the equation of the ellipse is 

} +  = 1.






    Ellipse  +  = 1