Question

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 1

I’m not sure is D , I’m clueless

Answer 2

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.