The function $f(x) = \sqrt[3]{x} + 2$ is not reflected yet. However, it can be reflected if we apply transformations.

There are two types of reflections you might be asking about:

1. Reflection over the x-axis:

To reflect the graph over the x-axis, we multiply the entire function by $-1$. The reflected function becomes: [ f(x) = -\left(\sqrt[3]{x} + 2\right) = -\sqrt[3]{x} - 2 ]

2. Reflection over the y-axis:

To reflect the graph over the y-axis, we replace $x$ with $-x$ in the function. The reflected function becomes: $f(x) = \sqrt[3]{-x} + 2$

Both these reflections would change the shape and orientation of the graph, depending on the type of reflection applied.

Would you like more details on how to visualize or graph these transformations?

Related questions:

1. How do reflections affect the domain and range of a function?
2. What is the difference between reflecting over the x-axis and the y-axis?
3. How do translations and reflections combine in function transformations?
4. Can cubic functions be reflected across both axes at the same time?
5. How do you graphically represent reflections of a cubic root function?

Tip: Reflections and translations can be applied in sequence to achieve multiple transformations of a function.