https://r2.erweima.ai/mathbot/image/1726772750529w344cgx6.jpg

The exercise asks you to observe the shapes (stars) on the grid and determine how many times they have been translated, in which direction, and by how much the coordinates of the vertices have shifted.

### Observations:
- There are three identical star shapes in the image.
- These stars are aligned horizontally, starting at specific points on the x-axis.

### Steps to Solve:
1. **How many times was the shape translated?**
   - The original star starts at coordinates labeled with point \( A \) (the first star). There are two more stars, so it has been translated twice to the right.

2. **In which direction?**
   - The stars have been translated horizontally to the right.

3. **How much were the coordinates shifted?**
   - By observing the x-coordinates of the vertices of the stars:
     - The first star’s point \( A \) starts at \( x = 4 \).
     - The second star’s corresponding vertex is at \( x = 22 \).
     - The third star’s corresponding vertex is at \( x = 40 \).
   - The translation is by \( 18 \) units each time along the x-axis.

Thus, the shape was translated **twice**, in the **right** direction, and the coordinates of the vertices were shifted by **18 units** each time.

Would you like further details or have any questions?

### 5 Related Questions:
1. How would you describe the general formula for translation in coordinate geometry?
2. What happens to the y-coordinates during a horizontal translation?
3. Can you find any applications of translations in real-world scenarios?
4. How would the problem change if the translation was diagonal or vertical instead of horizontal?
5. How can you identify the translation rule when only the coordinates are provided?

### Tip:
When working with translations, always check both the x and y values to confirm whether it's a horizontal, vertical, or diagonal shift.

Observe the image and determine how many times it has been translated, in which direction, and by how much the coordinates of the vertices have been shifted.

Learn how to determine the number of translations, the direction, and the shift in vertex coordinates for a series of star shapes on a coordinate grid. This geometry problem involves translation and coordinate geometry concepts, suitable for Grades 6-8.

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