https://file.aiquickdraw.com/mathbot/file/17262488317940zoz88g5.jpg

The problem on the screen asks to find the coordinates of the point \((-4, 3)\) after two transformations:
1. **Translation** 2 units to the right.
2. **Reflection** over the x-axis.

Let's break it down:

1. **Translation** 2 units to the right:
   - To move the point 2 units to the right, you add 2 to the x-coordinate. 
   - So, \((-4 + 2, 3) = (-2, 3)\).

2. **Reflection** over the x-axis:
   - A reflection over the x-axis changes the sign of the y-coordinate.
   - The reflected point would be \((-2, -3)\).

Thus, the coordinates of the image of the point after both transformations are **\((-2, -3)\)**.

Would you like further details on any step or have questions? Here are 5 related questions to expand on this topic:

1. What happens when you reflect a point over the y-axis instead of the x-axis?
2. How do you perform a translation vertically instead of horizontally?
3. How would you describe a reflection over the origin?
4. What are the general rules for reflecting a point over any given line?
5. How do combined transformations like rotation and reflection affect a point's position?

**Tip:** When performing multiple transformations, always follow the order specified. For example, apply the translation first, then the reflection.

The point (-4, 3) is shown on the graph. Write the coordinates for the image of this point after a translation 2 units to the right and then a reflection over the x-axis.

Learn how to translate the point (-4, 3) 2 units to the right and then reflect it over the x-axis. Understand the key concepts of translations and reflections in coordinate geometry, suitable for Grade 8 students.

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