Which statement is true? The graph of y=log (x-4) is the graph of y=log (x) translated 4 units down. The graph of y=log (x) -4 is the graph of y= log (x) translated 4 units left. The graph of y=log (x) + 4 is the graph of y=4(x) translated 4 units up. The graph of y=log (x + 4) is the graph of y=log (x) translated 4 units right.

When you subtract four units to x the graph is translated to the right, then the first option is incorrect
When you subtract four units to log(x) the graph is translated 4 units down, then the second option is incorrect.
When you add four units to log(x) the graph is translated 4 units up, then the third option is correct.
When you add four units to x the graph is translated to the left, then the fourth option is incorrect.

Answer: The third statement is true: The graph of y=log (x) + 4 is the graph of y=log(x) translated 4 units up.