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To map Figure \( X \) onto Figure \( Y \), we need to determine the correct sequence of transformations. By analyzing the graph, we can see that Figure \( X \) and Figure \( Y \) appear to be reflections or rotations of each other.

### Step-by-Step Analysis:

1. **Reflection**: 
   - Figure \( X \) appears to be reflected across the \( x \)-axis because the orientation is reversed. The vertices are mirrored vertically.
   
2. **Translation**:
   - After the reflection, a translation will be needed to move the reflected figure to the position of Figure \( Y \).

Thus, the transformation steps are:
1. **Reflection across the \( x \)-axis**.
2. **Translation** downwards and leftwards to match the position of Figure \( Y \).

The answer would be: 
"A reflection across the \( x \)-axis followed by a translation."

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Would you like more details or have further questions about the transformations?

Here are 5 related questions:
1. How do you identify a reflection transformation in geometry?
2. What other types of transformations could be used to map two figures?
3. Can a rotation achieve the same result in this case instead of a reflection?
4. How do you describe a translation mathematically in terms of coordinates?
5. What happens to the coordinates of a figure when it is reflected across the \( x \)-axis?

**Tip**: When identifying transformations, check if the figure is mirrored, rotated, or shifted in space to figure out the correct combination of actions.

Determine a series of transformations that would map Figure X onto Figure Y.

Learn how to map Figure X onto Figure Y using geometric transformations. This problem involves reflection across the x-axis followed by a translation. Suitable for students in Grades 7-9.

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