SOLUTION: Write an equation for the given ellipse that satisfies the following conditions. Center at (1,1); minor axis vertical, ,with length8; c=3

Minor axis is 8 units --- hence, the minor semi-axis is b= 8/2 = 4 units.


Eccentricity c= 3 --- hence, 

    c^2 = a^2 - b^2  ===>  a^2 = c^2 + b^2 = 3^2 + 4^2 = 25  ===> a =  = 5, where "a" is the major semi-axis.


Since minor axis is vertical, the ellipse  "is wider than tall"  and  "a"  goes with x-term,  while  "b"  goes with y-terms.


Taking into account the center's position, the standard form equation of ellipse is


     +  = 1.    ANSWER