Move a point or reflect it in an axis. Plot your answer, with hints when you need them.
Example 1
A is at (−2,−1). Move it 1 unit right and 2 units down. Plot its new position.
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Answer: (−1,−3)
- Add the horizontal change: x′=−2+(1)=−1.
- Add the vertical change: y′=−1+(−2)=−3.
- The new position is (−1,−3).
Example 2
A is at (3,1). Reflect it in the x−axis and plot its image.
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Answer: (3,−1)
- Reflection in the x−axis changes (x,y) to (x,−y).
- Applying this to (3,1) gives (3,−1).
Example 3
A is at (−2,1). Reflect it in the y−axis and plot its image.
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Answer: (2,1)
- Reflection in the y−axis changes (x,y) to (−x,y).
- Applying this to (−2,1) gives (2,1).