Answer:
Options 3 & 4
Step-by-step explanation:
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.