1. The problem asks to find the translation that maps point $P(-3, 1)$ to point $P'(1, 5)$. 2. A translation moves a point horizontally and vertically by certain units. The formula for translation is: $$P'(x', y') = (x + h, y + k)$$ where $h$ is the horizontal shift and $k$ is the vertical shift. 3. To find $h$ and $k$, subtract the original coordinates from the image coordinates: $$h = x' - x = 1 - (-3) = 1 + 3 = 4$$ $$k = y' - y = 5 - 1 = 4$$ 4. Since $h = 4$ and $k = 4$ are both positive, the translation is 4 units to the right and 4 units up. Final answer: A translation by 4 units to the right and 4 units up.