Kindly, check below.
1) The first thing to do is to set coordinates for those points so that we can better do this
G(2,8)
C(2, 5)
B (5,6)
A (4,8)
2) Since this dilation is centered at G we need to count the distance from each vertex to point G
3) Since the factor is 2 the dilated triangle will be twice larger than the pre-image and now let's translate it as well
Now that we know the distance from point g from above, we can write out the following coordinate for the image: