What is the transformation that occurs to the equation y = 2x if it changes to y = 2x-3?

Given equation is y=2x which change to y=2x-3. Now we need to check following which transformations, the equation y=2x changes to y=2x-3.

Because of - 3 with the given function y=2x, the graph shifts to 3 units down. So the transformation is 3 units downwards. If - 3 is inside the function that is y=2 (x-3), in that case the equation shifts to 3 units right. But since here we have - 3 with the function not inside the function, so the equation shifts to 3 units downwards and that's the required transformation.