Answer: dilation by a scale factor of 1/2
Explanation:
The answer is: dilation by a scale factor of 1/2, reflection over the x-axis, translation to the left 4 units, and translation down 3 units.
The dilation by a scale factor of 1/2 is necessary to make the pre-image (A) smaller, while the dilation by a scale factor of 1/3 is not necessary as the image (A') is not smaller than the pre-image. The reflection over the x-axis is necessary to flip the image so that it looks like the image (A'). The translation to the left 4 units and translation down 3 units are necessary to move the pre-image (A) to the position of the image (A').