Given:
f(x) = logx
Let's find the equation of the transformed graph g(x).
From the graph of f(x), we can see there's a horizontal translation left 2 units and a vertical translation up 3 units.
Thus, we have the transformation:
Horizontal translation 2 units left = g(x) = f(x+2) = log(x + 2)
Then, a vertical translation up 3 units = g(x) = f(x +2) + 3 = log(x + 2) + 3
Therefore, after the transformation, we have:
g(x) = log(x + 2) + 3
ANSWER:
g(x) = log(x + 2) + 3