Answer: C. a reflection across the x-axis, and then a dilation by a scale factor of 2
Step-by-step explanation:
Coordinates of image I are (3,-2),(3,-3),(4,-1) and (6,-3)
Coordinates of image II are (6,4),(6,6),(8,2) and (12,6)
After reflection across x axis polarity of coordinates of y axis change(opposite sign)
Thus (x,y)→(x,-y)
(3,-2)→(3,2)
,(3,-3)→(3,3)
,(4,-1) →(4,1)
and (6,-3)→(6,3)
Then after dilation by scale factor of 2 (Multiply 2 to both the x and y coordinates of the points after reflection)
Thus (x,y)→(2x,2y)
(3,2)→(6,4)
,(3,3)→(6,6)
,(4,1) →(8,2)
and (6,3)→(12,6)
Which are the coordinates of image I.
Thus C is the right option.