what coordinate expression represents the coordinates of any point after dilation by any scale factor, a?

Step-by-step explanation:

In order to dilate the coordinates of a point, we want to make it times bigger. In order to do this, we can multiply the x and y values by our scale factor, a. This is called mapping. What it does is it basically multiplied our points by a specific number so that we end up with a figure that is (the scale factor) times bigger than the original.

So in order to make an expression for this, we multiply the x and y coordinates by a. So we have ax and ay.

Hope this helped!