We have a figure ABCD that is dilated by a factor of 2.
We have to find the coordinate of the image point B'.
If the center of dilation is the origin (0,0) and the factor is k = 2, we can write the rule:
[tex](x,y)\longrightarrow(2x,2y)[/tex]Then, for B(-1,1), we will get:
[tex]B=(-1,1)\longrightarrow B^{\prime}=(2\cdot(-1),2\cdot1)=(-2,2)[/tex]Answer: B' = (-2,2)