Yes, the cube root of \( (x - 1) \), which is represented as \( \sqrt[3]{x - 1} \), is **not reflected** by default. However, the shape of a cube root function has a unique symmetry about the origin, meaning that the function itself could appear like it's "reflected" depending on how it's transformed.

To reflect the graph of \( \sqrt[3]{x - 1} \), you'd need to apply specific transformations:

1. **Reflection over the x-axis**: This would change the function to \( -\sqrt[3]{x - 1} \).
2. **Reflection over the y-axis**: This would change the function to \( \sqrt[3]{-(x - 1)} \).

These reflections will invert the graph in different directions:
- \( -\sqrt[3]{x - 1} \) reflects it upside down (flips over the x-axis).
- \( \sqrt[3]{-(x - 1)} \) reflects it horizontally (flips over the y-axis).

Would you like a detailed explanation or graph of these transformations?

### Relative questions:
1. How does the general form of a cube root function look?
2. What happens to the domain and range when a function is reflected?
3. How does reflecting a function affect its slope and inflection points?
4. Can cube root functions have asymptotes like other functions?
5. How would you translate the cube root function horizontally or vertically?

### Tip:
When reflecting functions, always consider how it affects the overall behavior and key points, such as intercepts and inflection points.

Explore whether the cube root function \( \sqrt[3]{x - 1} \) is reflected. Learn how graph transformations such as reflection over the x-axis and y-axis affect this function. Includes detailed explanations of how to reflect functions and how this impacts the graph's symmetry.

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