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.