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The equation given is \( y = x^3 - 5 \), which is a transformation of the parent function \( y = x^3 \). 

### Steps to understand the transformation:
- **Parent function**: The graph of \( y = x^3 \) is a cubic curve that passes through the origin (0,0) and has the characteristic "S" shape.
- **Transformation**: The equation \( y = x^3 - 5 \) represents a **vertical shift** of the parent function. The entire graph is shifted **down by 5 units**.

### How this affects the graph:
- The key feature is that each point of the graph of \( y = x^3 \) is moved 5 units downward.
- The **inflection point**, originally at \( (0, 0) \), moves to \( (0, -5) \).
- Other key points follow this pattern of shifting downwards by 5 units.

### Confirming with the graph:
- The graph shows that the new curve passes through points that match the transformation. For example:
  - The inflection point is at \( (0, -5) \).
  - Other points, such as \( (-2, -13) \) and \( (2, 3) \), also follow this transformation of the cubic function being shifted down.

Would you like further details or explanations?

Here are five related questions to expand your understanding:
1. What are the general transformations of a cubic function?
2. How does shifting a function vertically affect its graph?
3. Can a cubic function be transformed horizontally?
4. What other types of transformations can be applied to cubic functions?
5. How would you graph \( y = (x - 2)^3 \) or other variations?

**Tip**: Always focus on how transformations like shifts, stretches, and reflections affect the critical points of a function.

Graph the equation shown below by transforming the given graph of the parent function y = x^3 - 5.

Learn how to graph the cubic function y = x^3 - 5 by applying a vertical transformation to the parent function y = x^3. This problem covers key graph transformation concepts, including vertical shifts. Suitable for students in Grades 9-12.

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