Answer:
A
Explanation:
Assuming the dilatation is centred at the origin, then each coordinate of the original point is multiplied by the scale factor 2, that is
D(- 4, 6 ) → D'(2(- 4), 2(6) ) → D'(- 8, 12 )
E(4, 2 ) → E'(2(4), 2(2) ) → E'(8, 4 )
F(- 2, - 2 ) → F'(2(- 2), 2(- 2) ) → F'(- 4, - 4 )
Thus the image coordinates are
D'(- 8, 12 ), E'(8, 4 ), F'(- 4, - 4 ) → A