Figure Translation
1. **State the problem:** We need to determine which translation(s) map Figure O onto Figure P on the coordinate plane.
2. **Understand translation:** A translation moves every point of a figure the same distance in the same direction. The translation vector is given by $$\vec{v} = (\Delta x, \Delta y)$$ where $$\Delta x$$ is the horizontal shift and $$\Delta y$$ is the vertical shift.
3. **Identify coordinates:** Approximate the center of Figure O and Figure P.
- Figure O center: approximately at $$(-5.5, 6.5)$$
- Figure P center: approximately at $$(-9.5, -3.5)$$
4. **Calculate translation vector:**
$$\Delta x = x_{P} - x_{O} = -9.5 - (-5.5) = -4$$
$$\Delta y = y_{P} - y_{O} = -3.5 - 6.5 = -10$$
5. **Interpretation:** The translation vector that maps Figure O onto Figure P is $$\vec{v} = (-4, -10)$$.
6. **Check translation:** Applying this vector to all vertices of Figure O should move it exactly onto Figure P.
**Final answer:** The translation that maps Figure O onto Figure P is a shift left by 4 units and down by 10 units, or $$\boxed{(-4, -10)}$$.