Figure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below:
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1. whenever there the image is the opposite hand of the preimage, there is ONE (or any other odd number) reflection involved.
2. To check simple cases like this, take one point of the preimage, and follow instructions to see if you arrive at the same point on the image.
For example, if you chose
A. reflection across the y-axis, followed by reflection across the x-axis.
To check, try to transform the top vertex of fig. 1 (preimage) which has coordinages (-4, 7).
Reflection across the y-axis brings it to (4,7), and subsequent reflection across the x-axis bring it to (4,-7) which is not part of the image, so we can rule out choice A above.
NOTE: remember that if there is one point that satisfies the rule, it is not sufficient to claim that the choice is correct. ALL points of the preimage must map to the image according to the same rule.