The task involves reflecting points across the x-axis and y-axis based on the given points in Figures 1 and 2.

Reflection Instructions:

1. X-Axis Reflection:

   • A reflection over the x-axis changes the y-coordinate of a point to its opposite (multiply by -1), while the x-coordinate remains unchanged.

   • In Figure 1, there is a red point at coordinates (-4, 3). The x-axis reflection of this point will change the y-coordinate from 3 to -3, keeping the x-coordinate the same:

     • Reflection: (-4, -3).

2. Y-Axis Reflection:

   • A reflection over the y-axis changes the x-coordinate of a point to its opposite (multiply by -1), while the y-coordinate remains unchanged.

   • In Figure 2, there is a red point at coordinates (-4, 3). The y-axis reflection will change the x-coordinate from -4 to 4, keeping the y-coordinate the same:

     • Reflection: (4, 3).

Summary:

• X-axis reflection of (-4, 3) (from Figure 1) is (-4, -3).
• Y-axis reflection of (-4, 3) (from Figure 2) is (4, 3).

Would you like further clarification, or help plotting the reflected points?

Relative Questions:

1. How would you reflect a point across the origin?
2. What would be the reflection of a point across the line $y = x$?
3. How does the reflection across the x-axis affect the quadrant in which the point lies?
4. If you reflect a point over both axes, what is the transformation?
5. Can a point remain unchanged after a reflection? Under what circumstances?

Tip:

Always remember: in reflections, only one coordinate changes sign depending on the axis you reflect over (x-axis for y, y-axis for x).