Question: Figure out the translation components, and then
Transformation to the left shape is 4 units right and 0 units up/down; corresponding points show A, B, C, D mapped to A', B', C', D'.
Translation: (?, ?)
Let P = (4, 5).
P' = (?, ?)
1. **State the problem:** We need to find the translation components that map the original shape to the transformed shape.
2. **Identify the translation components:** The problem states the transformation is 4 units right and 0 units up/down.
3. **Write the translation vector:** Translation vector is $\vec{T} = (4, 0)$.
4. **Apply the translation to point $P = (4, 5)$:**
$$P' = P + \vec{T} = (4, 5) + (4, 0) = (4 + 4, 5 + 0) = (8, 5)$$
5. **Final answers:**
- Translation: $(4, 0)$
- Translated point $P'$: $(8, 5)$