I take it this is in base 2? It really doesn't matter for this question, but I will interpret it that way. The easiest way to do this is with a graphing calculator to see what happened. You can do it on the internet by going to wolframalpha and putting the equations in like this.
y = log_2(x); y = log_2(x + 3) - 9
You will see the picture clearly when you do this. The answer is that it moves 3 units towards the left and 9 units down.
Answer: Third one down.
Comment: Anything you put inside the brackets with an x moves the graph left or right depending on the sign. (x + 3) moves 3 units to the left. (x - 3) moves the graph 3 units to the left.
Anything outside the brackets moves the graph up or down. minus goes down. Plus goes up. The number must be on the right. - 9 goes nine units down.