Recall the following two function transformations:
Vertical stretch by a factor k:

Horizontal translation by c units:

Notice that starting with the parent function f(x):
![f\lparen x)=\sqrt[3]{x}](https://img.qammunity.org/2023/formulas/mathematics/college/osf01bm2sanfynlin2hp5vou1l291mppss.png)
We can apply a vertical stretch by a factor of 4 and a horizontal translation by 7 units left to get h(x):
![\sqrt[3]{x}\rightarrow4\sqrt[3]{x}\rightarrow4\sqrt[3]{x-\left(-7\right)}=4\sqrt[3]{x+7}](https://img.qammunity.org/2023/formulas/mathematics/college/q7pyyybkv6f33tma6khmk1ff12enez37ky.png)
Therefore, the effects when f(x) is transformed to h(x) are:
- A vertical stretch by a factor of 4.
- A horizontal translation 7 units left.