Answer:
y = log (x + 3)
Step-by-step explanation:
This function (graph) is a translated version of the log function.
The basic graph of y = log(x) is attached.
As we can compare, we see that the basic logx graph goes through (1,0) and the asymptote is x = 0
This graph, is basically translated 3 units left, so the point becomes (1-3,0) = (-2,0) and the asymptote becomes x = -3.
THis conforms with the graph shown.
Thus, we need to horizontally translate y = log x 3 units left, which means:
y = log (x + 3)
Note: if we have a horizontal translation of a units to the left, y = logx becomes y = log(x+a)
