On the accompanying set of axes, graph ΔABC with coordinates A(-1,2), B(0,6), and C(5,4). Then graph ΔA'B'C', the image of ΔABC after a dilation of 2.
Also, what exactly is meant by a dilation of a number?
This is a good site to find out about dilations. It has an example very similar to yours.
Regents Math A: Dilations
Just multiply each of your coordinates by a scale factor of 2 to get your new dilated coordinates:
A'(-2, 4), B'(0, 12), C'(10, 8)