Puzzle Time!

The four Blokus pieces that appear off the board on the front page of blokus.com are:

Blue Z
Yellow X
Red Y
Green W

The Blokus piece that appears in Community > Puzzles on blokus.com is the Blue F. Moving the square that is pointing towards the person in the picture up by one unit transforms the Blue F into the Blue X. Moving that same square down and around the corner to create the Blue Y is not allowed in this puzzle. Any square in the Blue F can be moved, as long as only one square is moved (along the edge but not around a corner) and it transforms into another Blokus piece. What other Blokus pieces can the Blue F transform to in this fashion?