Which statement is true?

A. the graph of y=log (x-4) is the graph of y=log (x) translated 4 units down.

B. The graph of y=log (x) - 4 is the graph of y=log (x) translated 4 units left.

C. The graph of y=log (x) + 4 is the graph of y=log (x) translated 4 units up.

D. The graph of y=log (x+4) is the graph of y=log (x) translated 4 units right

Answer with explanation:

Drawing the graph of, y = log x

Domain of log x is all x ≥ 0.

So, y will be always Positive.

⇒Considering the graph of

y = log x-4

When x=1, y = - 4

The graph of log x-4 is shifted 4 units down.

⇒And, Considering the graph of

y = log x+4

When x=1, y = 4

The graph of log x+4 is shifted 4 units up.

Option C: ⇒The graph of y=log (x) + 4 is the graph of y=log (x) translated 4 units up.

I'm not sure is D, I'm clueless