Final answer:
Without specific details or visual representation, it's not possible to determine the exact transformations from parallelogram ABCD to A'B'C'D'. Reflections and rotations produce different changes in the figure's position and orientation in the coordinate system.
Step-by-step explanation:
The question is asking which set of transformations would change parallelogram ABCD into parallelogram A'B'C'D'. Without the specific coordinates or a visual representation of the initial and transformed parallelograms, it is not possible to definitively say which transformations were applied. In general, if a figure is reflected over the y-axis, its image will appear horizontally flipped to the other side of the y-axis. A 180° rotation would keep the figure in the same orientation but will change the position such that what was once pointing up will now point down and vice versa. A figure that is reflected over the x-axis will be vertically flipped, and a 90° counterclockwise rotation will turn the image a quarter turn counterclockwise around the origin.
Without more information, it is impossible to determine exactly which transformation or sequence of transformations occurred, but the mentioned transformations are the general effects on a shape in a coordinate plane.