The coordinate of point Y is: (x,y)= (8,-8). We can describe a dilation with respect fo the origin with the notation:
[tex](x,y)\longrightarrow(kx.ky)[/tex]
where k is the scale factor. In our case, k=1/4.
Then, by applying this rule to our point Y, we have
[tex]\mleft(8,-8\mright)\longrightarrow(\frac{1}{4}\cdot8,\frac{1}{4}\cdot(-8))[/tex]
Therefore, the image of point Y after the dilation is:
[tex](2,-2)[/tex]
