Dilation involves changing the size of a figure
The endpoints of the image are (-2,-1) and (6,1)
The coordinates of the pre-image are give as:
(2,2) and (6,2)
The scale factor is given as:
k = 2
The center of dilation is given as:
(a,b) = (6,5)
The coordinates of the image are then calculated as:
[tex](x,y) \to (k(x -a) + a, k(y -b) + b)[/tex]
For (2,2), we have:
[tex](x,y) \to (2(2 -6) + 6, 2(2 - 5) + 5)[/tex]
[tex](x,y) \to (-2, -1)[/tex]
For (6,2), we have:
[tex](x,y) \to (2(6 -6) + 6, 2(2 - 5) + 5)[/tex]
[tex](x,y) \to (6, -1)[/tex]
Hence, the endpoints of the image are (-2,-1) and (6,1)
Read more about dilation at:
https://brainly.com/question/3457976
