This could be the graph of:
A. In(x - 3) +4
B. In(x+3)
c. In(x) + 4
D. In x + 3) - 4

ln(x+3)-4

Step-by-step explanation:

The function ln(x) is not defined for x=0 (goes towards - infinity), so notice that the function in the graph is well defined for x=0, but has the behavior of diverging towards minus infinity at x=-3. therefore, there has been a translation of 3 units to the left. This involves adding 3 units to the variable x, with the transformation: ln(x+3).

Then, the given graph shows that the ln function was also shifted down in order to render negative values in the vicinity of x=0, therefore the function that is most applicable is the one that after shifting the graph to the left, brings it down 4 units with:

ln(x+3) -4

21/58.

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