Final answer:
The reflection of point Q' (3, -4) over the X-axis results in the point Q with coordinates (3, 4), denoted as option (a).
Step-by-step explanation:
When a point undergoes a reflection over the X-axis, the X-coordinate remains the same, but the Y-coordinate changes its sign. This means that the reflection of the point Q' (3, -4) over the X-axis would result in a point Q with the same X-coordinate (3) and the opposite Y-coordinate (4). Thus, the correct coordinates for point Q after the reflection would be (3, 4), which corresponds to option (a).