https://file.aiquickdraw.com/mathbot/file/172687380397442z4mtko.jpg

In this problem, you are tasked with determining the series of transformations that would map Figure \( S \) onto Figure \( T \).

### Step 1: Reflection
Looking at the graph, Figure \( S \) and Figure \( T \) seem to be symmetric across the x-axis. Therefore, the first transformation would be a **reflection over the x-axis**. This step would move Figure \( S \) above the x-axis.

### Step 2: Translation
After reflecting Figure \( S \) over the x-axis, we still need to align it with Figure \( T \). This can be done by translating the reflected figure.

After reflection, the shape will appear in the upper left quadrant. To map it exactly onto Figure \( T \), you would need a **translation to the right** (along the x-axis) by 10 units and **upward** by 8 units.

### Final Transformations
1. **Reflection over the x-axis**.
2. **Translation: Right by 10 units and Up by 8 units**.

Would you like further clarification or details?

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Here are 5 related questions:
1. What is the effect of a reflection over the y-axis?
2. How do you determine the direction and distance of a translation?
3. Can rotations be used to achieve the same result in this problem?
4. What other transformations could be applied to Figure \( S \) to achieve similar results?
5. How would you describe a dilation, and how does it differ from a translation?

### Tip: 
Always apply transformations step by step and check the intermediate result before moving to the next transformation.

Determine a series of transformations that would map Figure S onto Figure T.

Learn how to map Figure S onto Figure T using geometric transformations. The solution involves reflecting Figure S over the x-axis followed by a translation 10 units to the right and 8 units upward. Suitable for students in Grades 8-10.

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