The vertices of figure A are located at (2, 2), (4, 2), (4, 4). The transformation f(x, y) = (½x, ½y+2) transforms figure A into figure B. Which of the following sets of transformations would transform figure B back into figure A?
A dilation by a factor of 2 centered at the origin, followed by a translation down 4 units.
A translation down 4 units, followed by a dilation by a factor of 2 centered at the origin.
A dilation by a factor of ½ centered at the origin, followed by a translation up 2 units.
A dilation by a factor of 2 centered at the origin, followed by a translation down 2 units.