Final answer:
Without the original coordinates of point S, we cannot calculate the coordinates of S' after a dilation with a scale factor of 2. More information is needed to solve the problem and choose from the given options.
Step-by-step explanation:
To determine the coordinates of point S' after a dilation of ASTU with a scale factor of 2, we need to know the original coordinates of point S. Once we have the original coordinates, we simply multiply each coordinate by the scale factor to find the coordinates of the dilated point S'. For example, if the coordinates of point S were (1.5, 2), after a dilation with a scale factor of 2, the coordinates of S' would be (1.5×2, 2×2), which equals (3, 4). However, since the question does not provide the original coordinates of point S, we cannot calculate the coordinates of S'. We need more information to provide a correct answer. Therefore, without the original coordinates, we cannot choose any of the given options A) (4, 2), B) (0, -3), C) (3, 4), or D) (6, 9) as the answer to the coordinates of point S'.