Answer:
see explanation
Step-by-step explanation:
Assuming the centre of dilatation is at the origin , then multiply each of the coordinates by the scale factor 2 , then
(- 2, 3 ) → (2(- 2), 2(3) ) → (- 4, 6 )
(3, 4 ) → (2(3), 2(4) ) → (6, 8 )
(4, - 1 ) → (2(4), 2(- 1) ) → (8, - 2 )