A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

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)