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.