Answer:
C
Step-by-step explanation:
Obviously this a log function. What you have to know about the parent graph of a log function is that it goes through the origin (0, 0). Ours appears to go through -1, so it has moved 1 unit to the left, and our appears to have moved up 3 units. The parent graph for the log function in standard form is
f(x) = log(x - h) + k.
where h indicates the side to side movement, and k represents the up and down movement. In our standard form, we fit in -1 as follows: (x - (-1)), which of course is equivalent to (x + 1). Because our function has moved up 3 units, our k is a positive 3. So the translation of the parent graph to what we see is
g(x) = log(x + 1) + 3, choice C
