Answer:
g(x) = log(x+4)
Explanation:
In general, let the original function be f(x), so,
1. horizontal translation of a units to the left would be f(x+a)
2. Horizontal translation of a units to the right would be f(x-a)
3. Vertical translation of b units above would be f(x) + b
4. Vertical translation of b units below would be f(x) - b
Looking at the second graph, we can see that it is transformed 4 units to the left (horizontal), so #1 would fall into it. Thus the equation would be (given original equation is log(x)):
g(x) = log(x+4)
3rd option is right.