Question

Square WXYZ was translated to square W'X'Y'Z'. Vertex Y was at (−4, 7).



If vertex Y' is at (3, 2), which of the following best describes the translation?
7 units right and 5 units down


5 units left and 7 units up


7 units left and 5 units up


1 unit right and 9 units down

Answer 1

To determine the translation from vertex Y at (-4, 7) to vertex Y' at (3, 2), we can calculate the horizontal and vertical changes.

1. **Horizontal Change**:
- From -4 to 3, we calculate:
\[
3 - (-4) = 3 + 4 = 7 \text{ (units to the right)}
\]

2. **Vertical Change**:
- From 7 to 2, we calculate:
\[
2 - 7 = -5 \text{ (units down)}
\]

Putting the changes together, the translation can be described as:
- 7 units to the right (positive horizontal change)
- 5 units down (negative vertical change)

Thus, the best description of the translation is **7 units right and 5 units down**.