For this case we have the following transformation:
[tex](x, y) (x-6, y + 8)
[/tex]
Using the transformation we have that the image is:
[tex](-4, 1)
[/tex]
Therefore, making use of this information, we can find the coordinates of the pre-image
We have then:
[tex]x-6 = -4
[/tex]
From here, we clear x:
[tex]x = -4 + 6
x = 2[/tex]
On the other hand we have:
[tex]y + 8 = 1
[/tex]
From here, we clear y:
[tex]y = 1-8
y = -7[/tex]
The coordinates of the pre-image is:
[tex](x, y) = (2, -7)
[/tex]
Answer:
A point that is the pre-image is:
[tex](x, y) = (2, -7)[/tex]
