Final answer:
The question requires additional information concerning the original coordinates of the point Q to accurately identify the vertex of the image after the transformation D1/4(Q). Without it, one cannot determine the correct answer from the provided options.
Step-by-step explanation:
The student is asking for the coordinates of the vertex of the image after a transformation designated as D1/4(Q). The transformation D1/4 seems to indicate a dilation centered at the origin with a scale factor of 1/4. If Q is the original point or vertex, its coordinates would be multiplied by the scale factor of 1/4 to find the coordinates of the image.
However, without the original coordinates of Q, we cannot directly compute the image's coordinates. The options given, A to D, don't provide enough information to deduce the original coordinates of Q. Therefore, the answer would depend on additional information that should be provided concerning the original point Q. If the original point Q were known, the vertex of the image after the transformation would be found by multiplying the x and y coordinates of Q by 1/4.