Write a loop that sets newScores to oldScores shifted once left, with element 0 copied to the end. Ex: If oldScores = {10, 20, 30, 40}, then newScores = {20, 30, 40, 10}.
You are initializing the first loop index to the end of the array and are therefore presumably wanting to count downwards, but you incrememt i. You need to decrement it.
In the body of that loop you only access newScores[SCORE_SIZE], which is outside the array (indices only go from 0 to SCORE_SIZE-1). Also, you are just "cout"ing the elements, which have not been initialized. And cout is certainly not going to shift anything anyway.
I don't see why you are counting downwards. There's no particular reason for that here. You may as well count upwards much like the second loop.