Question

Each statement describes a transformation of the graph of y = log2x.

Answer 1

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.

Answer 2

it's C: It is the graph of y = log2x translated 9 units down and 3 units to the left.