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).