https://file.aiquickdraw.com/mathbot/file/1727450071021mht0o1sb.jpg

Let's break down the problem step by step:

1. The original point is marked with a large dot on the figure in blue.
2. The problem asks to translate the figure **6 units to the right**.

First, let's identify the coordinates of the marked point in the **original figure**:

- The large blue dot in the original figure is at the point \((-2, 4)\).

Next, we need to translate the figure **6 units to the right**, which means we **add 6 to the x-coordinate**:

- Translating the point \((-2, 4)\) by 6 units to the right results in:
  \[
  (-2 + 6, 4) = (4, 4)
  \]

### Final Answer:
- **Point in original figure**: \((-2, 4)\)
- **Point in final figure**: \((4, 4)\)

Would you like more details or have any further questions?

### 5 Related Questions:
1. How do you perform a translation of a point in any direction?
2. What happens when you translate a figure vertically instead of horizontally?
3. How do different types of transformations (e.g., reflection, rotation) differ from translation?
4. Can translation ever change the size or orientation of a figure?
5. How can you translate a figure by non-integer values?

### Tip:
When performing translations, you only need to adjust the coordinates by adding or subtracting based on the direction and magnitude specified for the transformation.

The figure below has a point marked with a large dot. First, translate the figure 6 units to the right. Then, give the coordinates of the marked point in the original figure and the final figure.

Learn how to translate a geometric figure 6 units to the right and find the coordinates of a marked point. This exercise covers translation and coordinate geometry for students in Grades 6-8.

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