The required coordinate of the point is (8, -16).
It means to magnify into bigger or demagnify into small things for our convenience.
Given
Point (2, -4)
Dilation = 4
Formula
[tex]\rm Point\ (x*dilation,\ y* dilation )[/tex]
Point ( x, y) = (2, -4)
Dilation = 4
Then
[tex]\rm Point\ (x*dilation,\ y* dilation )\\\rm Point\ (2*4,\ -4*4 )\\\rm Point\ (8, -16)\\[/tex]
Thus, the required coordinate of the point is (8, -16).
More about the Dilation link is given below.
https://brainly.com/question/2856466