The image of dilating the points by a scale factor 3.5 with centre of enlargement (4, -6) is (-7, 14), (0, 14), (-7,7) and (0, 7)
The coordinates are given as:
(2,-2) (4,-2) (2,-4) (4,-4)
The scale factor is given as:
k = 3.5
The center of enlargement is given as:
(a,b) = (4, -6)
The image of dilation is calculated using:
[tex](x,y) \to (k(x -a), k(y -b))[/tex]
So, we have:
A = (3.5(2 -4), 3.5(-2 +6))
A = (-7, 14)
B = (3.5(4 -4), 3.5(-2 +6))
B = (0, 14)
C = (3.5(2 -4), 3.5(-4 +6))
C = (-7,7)
D = (3.5(4 -4), 3.5(-4 +6))
D = (0, 7)
Hence, the image of dilating the points is (-7, 14), (0, 14), (-7,7) and (0, 7)
Read more about dilation at:
https://brainly.com/question/3457976
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