Final answer:
The original coordinates of point Q on shape X before translation could be found by reversing the transformation, which is subtracting 2 units from the x' coordinate and adding 1 unit to the y' coordinate of the translated shape.
Step-by-step explanation:
The student is asking about a translation of a geometrical shape in the coordinate plane. If shape X undergoes a translation of 2 units to the right and 1 unit down, we can determine the original coordinates of a point Q on shape X by simply reversing this transformation. Let's say the transformed coordinates of point Q are (x', y'). The original coordinates would be found by subtracting 2 units from the x coordinate and adding 1 unit to the y coordinate, meaning (x, y) = (x' - 2, y' + 1).