Question
How will the following transformation rule move a preimage?
（2,2） → （-2，-3）
(1 point)
•It will be translated down and to the left.
O It will be dilated to become
smaller.
• It will be rotated 180 degrees.
O It Will be translated up and to the right.
（2,2） → （-2，-3）
(1 point)
•It will be translated down and to the left.
O It will be dilated to become
smaller.
• It will be rotated 180 degrees.
O It Will be translated up and to the right.
Answers
GPT-4o mini
To determine how the transformation rule moves the preimage (2, 2) to the image (-2, -3), we can analyze the change in coordinates.
1. **From (2, 2) to (-2, -3)**:
- The x-coordinate changes from 2 to -2, which is a change of \( -2 - 2 = -4 \). This means the point moves 4 units to the left.
- The y-coordinate changes from 2 to -3, which is a change of \( -3 - 2 = -5 \). This means the point moves 5 units down.
Based on this analysis, the preimage (2, 2) is translated 4 units to the left and 5 units down to reach (-2, -3).
Therefore, the correct interpretation is:
- **It will be translated down and to the left.**
1. **From (2, 2) to (-2, -3)**:
- The x-coordinate changes from 2 to -2, which is a change of \( -2 - 2 = -4 \). This means the point moves 4 units to the left.
- The y-coordinate changes from 2 to -3, which is a change of \( -3 - 2 = -5 \). This means the point moves 5 units down.
Based on this analysis, the preimage (2, 2) is translated 4 units to the left and 5 units down to reach (-2, -3).
Therefore, the correct interpretation is:
- **It will be translated down and to the left.**