Answer:
3 f(x + 4) -2
Step-by-step explanation:
Given that our parent function is f(x), stretching it vertically by a factor of 3 gives
![3f(x)](https://img.qammunity.org/2023/formulas/mathematics/high-school/5mswt2puohb6dn1pwflg72v0tq2vu08bs4.png)
the translating the function by units to the left gives
![3f(x+4)](https://img.qammunity.org/2023/formulas/mathematics/high-school/guld049o3a01yso5m5mvy8ss5j6hnm9oes.png)
finally, moving it down by 3 units gives
![3f(x+4)-3](https://img.qammunity.org/2023/formulas/mathematics/high-school/zrvbdyla0uhnixbrkzstkrrf3apwokg9ot.png)
which is our answer!