https://file.aiquickdraw.com/mathbot/file/1725412811634t64vi3hu.jpg

The image you provided shows a pair of coordinate planes (Figure 1 and Figure 2) where the task is to identify and plot points that are reflections over the x-axis and y-axis.

### Reflection Concepts:
1. **X-axis Reflection:** A reflection across the x-axis changes the sign of the y-coordinate of a point. For example, a point \((x, y)\) reflected across the x-axis would become \((x, -y)\).
  
2. **Y-axis Reflection:** A reflection across the y-axis changes the sign of the x-coordinate of a point. For example, a point \((x, y)\) reflected across the y-axis would become \((-x, y)\).

### Analysis of the Image:
- **Figure 1** has a point plotted at approximately \((2, -3)\). 
- **Figure 2** has a point plotted at approximately \((-4, 4)\).

### Reflections:

1. **X-axis Reflection (for Figure 1):**
   - Given Point: \((2, -3)\)
   - X-axis Reflection: The new point would be \((2, 3)\).

2. **Y-axis Reflection (for Figure 2):**
   - Given Point: \((-4, 4)\)
   - Y-axis Reflection: The new point would be \((4, 4)\).

Would you like more details or explanations about this process? Here are some related questions:

1. What would happen if you reflected a point across both the x-axis and the y-axis?
2. How would the reflection differ if the point was on one of the axes?
3. Can you explain how to reflect a point over the line \(y = x\)?
4. What is the result of reflecting the origin \((0, 0)\) over the x-axis and y-axis?
5. How would you describe the transformation if the point was reflected over a different line, like \(y = -x\)?

**Tip:** Always check the quadrant the original point is in before reflecting it, as this will help you anticipate where the reflected point should appear.

Identify and plot the point that is an x-axis reflection of the point in Figure 1. Identify and plot the point that is a y-axis reflection of the point in Figure 2.

This problem involves identifying and plotting points that are reflections over the x-axis and y-axis on a coordinate plane. The solution provides a detailed explanation of the reflection process and is suitable for students in Grades 6-8.

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