What are the coordinates of the image of Q for a dilation with center (0, 0) and scale factor 1/2? A. (8, 8) B. (1, –1) C. (1/2, 1)D. (2, 2)

the answer would be D. (2,2)
Since the scale factor is 1/2, all you have to do is multiply 1/2 by each of x-coordinate and y-coordinate of Q.
Multiplying by 1/2 is the same as dividing by 2, so you divide the x and y coordinates of Q to get the dilation image of Q as (2,2).