After one step, Franklin can move in four different directions: right, left, up, or down. Let's consider each of these cases separately:
If Franklin moves to the right, he will end up at the point (1,0).
If Franklin moves to the left, he will end up at the point (-1,0).
If Franklin moves up, he will end up at the point (0,1).
If Franklin moves down, he will end up at the point (0,-1).
Therefore, after one step, Franklin can end up at any of these four points: (1,0), (-1,0), (0,1), or (0,-1). So the answer is 4.