Apoint is dilated with respect to the origin. determine the value of k and state whether the dilation is an expansion or contraction. include all necessary calculations for full credit.

do, k = (2,4) → (8,16)

Scale Factor (K) = (new length/measure)/ (original length/measure)
for x-coordinate  = 8/2 = 4
for y-coordinate  = 16/4 = 4

K=4, expansion

K is the representation of "scale factor". Scale factor is the ratio of the lengths involved of the similar figures. It can be used to identify the kind of dilation, whether it is contraction or expansion. If the Scale Factor is greater than 1, then that means expansion and if it is less than 1, then it signifies contraction.