Given the coordinates of the point U = ( -4 , 0 )
We need to make a dilation with a scale factor = 1/4, centered at the origin.
So, the coordinates of point U' =
[tex]U^{\prime}=\frac{1}{4}\cdot(-4,0)=(-\frac{4}{4},\frac{0}{4})=(-1,0)[/tex]So, the answer is U' = ( -1 , 0 )