What is the center of dilation? what is the scale factor of the dilation?

a. The center of dilation is (0,0).

b. The scale factor of the dilation is 2.

Step-by-step explanation:

If the rule of dilation is

             ... (1)

then the center of dilation is origin and scale factor is k.

From the given graph it is clear that the vertices of triangle ABC are A(-2,2), B(4,2) and C(-2,-2).

The vertices of triangle A'B'C' are A'(-4,4), B'(8,4) and C'(-4,-4).

The relation between preimage and image is defined as

            .... (2)

It means center of dilation is (0,0).

On comparing (1) and (2), we get

Therefore, the scale factor of the dilation is 2.