We have the next points
W(2,4)
X(-4,-8)
Y(0,4)
Z(12,-2)
dilatation by a scale factor of 2 means that we will multiply each coordinate by 2
W'=(2(2),4(2))=(4,8)
X'=(-4(2),-8(2))=(-8,-16)
Y'=(0(2),4(2))=(0,8)
Z'=(12(2),-2(2))=(24,-4)
the new points are
W'=(4,8)
X'=(-8,-16)
Y'=(0,8)
Z'=(24,-4)
as we can see it is an enlargement