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.