A point is first translated 3 units to the right and 2 units down, and then reflected across the axis. If the original point P has coordinates , what are the coordinates of the final image P'?
Options
A
B
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D
Answer & Analysis
Answer
A
Analysis
Question Analysis:
This question combines a translation and a reflection across the axis.
The main focus is correctly applying the translation rule first and then the axis reflection rule to find the coordinates of the transformed point.
Key Concept Explanation:
1. Translation rule: When a point is translated units to the right and units down, the new coordinates become .
2. Reflection across the axis rule: When a point is reflected across the axis, the new coordinates are .
Step - by - Step Solution:
1. Translation:
- Given the original point and a translation of 3 units to the right () and 2 units down ().
- Using the translation rule , we substitute , , , and .
- The new coordinates after translation are .
2. Reflection across the axis:
- Now we take the point
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