Write the coordinates of the point Y after a dilation with a scale factor of 4, centered at the origin.

The coordinates of point Y after a dilation with a scale factor of 4, centered at the origin, can be determined by multiplying the original coordinates of point Y by the scale factor.

Let's assume the original coordinates of point Y are (a, b). After a dilation with a scale factor of 4, the new coordinates of point Y would be (4a, 4b).