Recall, an exponential function has the basic form
.
a produces a vertical stretch or shrink
b is the rate
x is the input value
h shifts the function left and right opposite to the sign of it
k shifts the function up and down
Thus is shifted to the right 1 unit and up 3 units.\\
This means that is shifted to the left 2 units and up five units.
Remember it had already been shifted up 3 so, moving up to 5 is a movement of 2 units. Option 3 is correct.
Also, remember the function started 1 unit to the right and then shifted left to 2. This would be 1--2=3 units in total were shift from f(x) to g(x). This makes Option 4 correct too.