If a map with a graphic scale is enlarged along with these scales (such as by using a photocopy machine), will you still be able to make correct measurements using the graphic scales?

yes

Explanation: Yes, if the graphic scale is enlarged "dilated" by an amount of two (the total graph is doubled), then if you want to do the correct measure you need to measure in that graphic scale and then divide the measure obtained by two.

This is the same for any factor of scale (and also works if the graph is contracted, but in this case you need to multiply the measure by the factor of scale)