The point is reflected across the axis. Then the reflected point is translated 2 units to the right. What are the coordinates of the final point?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
Question Analysis:
This question combines reflection across the axis with translation.
The main focus is to correctly apply the rule for reflection across the axis first and then the rule for translation to find the coordinates of the final point.
Key Concept Explanation:
For reflection across the axis, if we have a point , it becomes .
For a translation units to the right, a point is transformed to .
Step - by - Step Solution:
1. Reflection across the axis:
- Given the point . When reflected across the axis, using the rule , the new point has coordinates since remains the same and changes to .
2. Translation 2 units to the right:
- Now, we take the point
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