∴①y2 is obtained from y 1, and it is shifted up by 2 units and then shifted to the right by 3 units, so the option is wrong;

∫y2 =(x-2)2+ 1，

∴ ② No matter what value X takes, y2≥ 1, so the option is correct;

③ when x=0, y2-y1= (0-2) 2+1-[(0+1) 2-1] = 5; Therefore, the option is correct;

④∫y 1 = x2+2x = x(x+2)，

∴ The coordinates of the intersection of the image and the X axis are: (0,0), (-2,0),

When y 1 < 0, -2 < x < 0, the option is correct.

Therefore, choose: B.