The vertices of a rectangle (1,1) (4,1) (4,6), (1,6). What are the coordinates of the rectangle after it has been dilated by a scale factor of 3 with the center of dilation at the origin?

a. (4, 4), (7, 4), (7, 9), (4, 9)
b. (3, 3), (12, 3), (12, 18), (3, 18)
c. (-2, -2), (1, -2), (1, 3), (-2, 3)
d. (1/3, 1/3), (4/3, 1/3), (4/3, 2), (1/3, 2)