You can only choose one season but you can change your answer. Votes aren't displayed publicly, you can view the results without voting, and the poll doesn't close. =)
Links to Jon Scott's site and Wikipedia for each season, for reference:
2009-2010
http://www.bigbluehistory.net/bb/statistics/2009-10.html
https://en.wikipedia.org/wiki/2009–10_Kentucky_Wildcats_men's_basketball_team
2010-2011
http://www.bigbluehistory.net/bb/statistics/2010-11.html
https://en.wikipedia.org/wiki/2010–11_Kentucky_Wildcats_men's_basketball_team
2011-2012
http://www.bigbluehistory.net/bb/statistics/2011-12.html
https://en.wikipedia.org/wiki/2011–12_Kentucky_Wildcats_men's_basketball_team
2012-2013
http://www.bigbluehistory.net/bb/statistics/2012-13.html
https://en.wikipedia.org/wiki/2012–13_Kentucky_Wildcats_men's_basketball_team
2013-2014
http://www.bigbluehistory.net/bb/statistics/2013-14.html
https://en.wikipedia.org/wiki/2013–14_Kentucky_Wildcats_men's_basketball_team
2014-2015
http://www.bigbluehistory.net/bb/statistics/2014-15.html
https://en.wikipedia.org/wiki/2014–15_Kentucky_Wildcats_men's_basketball_team
Links to Jon Scott's site and Wikipedia for each season, for reference:
2009-2010
http://www.bigbluehistory.net/bb/statistics/2009-10.html
https://en.wikipedia.org/wiki/2009–10_Kentucky_Wildcats_men's_basketball_team
2010-2011
http://www.bigbluehistory.net/bb/statistics/2010-11.html
https://en.wikipedia.org/wiki/2010–11_Kentucky_Wildcats_men's_basketball_team
2011-2012
http://www.bigbluehistory.net/bb/statistics/2011-12.html
https://en.wikipedia.org/wiki/2011–12_Kentucky_Wildcats_men's_basketball_team
2012-2013
http://www.bigbluehistory.net/bb/statistics/2012-13.html
https://en.wikipedia.org/wiki/2012–13_Kentucky_Wildcats_men's_basketball_team
2013-2014
http://www.bigbluehistory.net/bb/statistics/2013-14.html
https://en.wikipedia.org/wiki/2013–14_Kentucky_Wildcats_men's_basketball_team
2014-2015
http://www.bigbluehistory.net/bb/statistics/2014-15.html
https://en.wikipedia.org/wiki/2014–15_Kentucky_Wildcats_men's_basketball_team