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Point P' (1,5) is the image of P(-3,1) under a translation 
Determine the translation 
Use non-negative numbers

To determine the translation from point \( P(-3, 1) \) to its image \( P'(1, 5) \), we will calculate the horizontal and vertical shifts.

1. **Horizontal Translation**:  
   From \( x = -3 \) to \( x = 1 \), the point moved 4 units to the right.

2. **Vertical Translation**:  
   From \( y = 1 \) to \( y = 5 \), the point moved 4 units up.

Thus, the translation is:

- 4 units to the right,
- 4 units up.

Would you like more details or have any questions?

Here are some related questions for further practice:

1. How would you describe a translation where the point moves left and down?
2. If the point \( P'(7, 9) \) is the image of \( P(2, 4) \), what is the translation?
3. What is the reverse translation from \( P'(1, 5) \) back to \( P(-3, 1) \)?
4. If a point does not change after translation, what does that imply about the transformation?
5. How would you apply a translation to a geometric figure with multiple points?

**Tip**: Translations are rigid motions, which means the shape and size of geometric figures do not change, only their position.

Point P'(1,5) is the image of P(-3,1) under a translation. Determine the translation. Use non-negative numbers.

Learn how to determine the translation of point P(-3, 1) to its image P'(1, 5) in coordinate geometry. This step-by-step solution explains the horizontal and vertical shifts involved. Suitable for students in Grades 6-8.

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