Answer:
Option B is correct.
N' =(-2, 6) will be the coordinates of vertex N' of the image.
Step-by-step explanation:
Triangle MNP will be dilated according to the rule (x,y), where point P is the center of dilation.
Given the coordinate N = (0, 2)
The rule of dilation with scale factor k =2 and point P is the center of dilation is given by:
\((x, y) \rightarrow (2x -2 , 2y +2)\)
then;
\(N(0, 2) \rightarrow N'(2(0) -2 , 2(2) +2) = N'(-2, 6)\)
Therefore, the coordinate of vertex N' of the image is, (-2, 6)
