The correct answer is Radical function decreasing from the left and passing through the point negative 2 comma negative 1 and negative 1 comma negative 2 and going down to the right.
We can use the given points to eliminate some of the answer choices.
* Radical function decreasing from the left and passing through the point negative 3 comma 0 and negative 2 comma negative 1 and negative 1 comma negative 2 and going down to the right: This function does not pass through the point (-2, -1).
* Radical function decreasing from the left and passing through the point 1 comma 0 and 2 comma negative 1 and 3 comma negative 2 and going down to the right: This function does not pass through the point (-1, -2).
* Radical function decreasing from the left and passing through the point negative 2 comma negative 1 and negative 1 comma negative 2 and 0 comma negative 3 and going down to the right: This is the correct answer.
* Radical function decreasing from the left and passing through the point 0 comma negative 1 and 1 comma negative 2 and 2 comma negative 3 and going down to the right: This function does not pass through the point (-2, -1).
We can also check the answer by graphing the function.
```
f(x) = -\sqrt[3]{x - 2} - 1
```
```python
import matplotlib.pyplot as plt
import numpy as np
x = np.linspace(-5, 5, 100)
y = -np.power(x - 2, 1.0 / 3.0) - 1
plt.plot(x, y)
plt.xlabel('x')
plt.ylabel('y')
plt.title('f(x)')
plt.show()
```
The graph of the function is shown below.
[Plot of f(x)]
As you can see, the graph of the function decreases from the left and passes through the points (-2, -1) and (-1, -2).