Answer:
The correct answer is d.
Explanation:
Let's solve each answer and see which one matches.
Note that in each case, you simply add or subtract from x inside the radical to move left or right respectively. Similarly, just add or subtract to the full expression to move up or down respectively. Doing so we get:
a)
![f(x) = \sqrt[3]{x + 7} + 3](https://img.qammunity.org/2022/formulas/mathematics/high-school/1mzz2vrp8w8snxwqsarsj32yf9uagytqb7.png)
b)
![f(x) = \sqrt[3]{x - 3} - 7](https://img.qammunity.org/2022/formulas/mathematics/high-school/tl0jzrki4jfrsv1jgzlq2v9hecin9bxkfe.png)
c)
![f(x) = \sqrt[3]{x - 3} + 7](https://img.qammunity.org/2022/formulas/mathematics/high-school/c26ki6su0nno0td7c4yjjy8fqrwxbnu08g.png)
d)
![f(x) = \sqrt[3]{x - 7} + 3](https://img.qammunity.org/2022/formulas/mathematics/high-school/xsahlq1j6fxlif1roq9n7j3gdqcxd1wdzw.png)
So d is the correct answer.