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Question
original point rotation about the origin 90° clockwise reflection across the x - axis translation 4 units to the right (9, 5) (5, - 9) 9, - 5 (-3, 3) (3, 3) - 3, - 3 (-2, -4) (-4, 2) - 2, 4 (x, y) (y, - x) (y, x)
Step1: Recall translation rule
For a translation 4 units to the right, we add 4 to the x - coordinate of a point.
Step2: Apply to (9, 5)
The new point is \((9 + 4,5)=(13,5)\).
Step3: Apply to (-3, 3)
The new point is \((-3 + 4,3)=(1,3)\).
Step4: Apply to (-2, -4)
The new point is \((-2+4,-4)=(2,-4)\).
Step5: Apply to (x, y)
The new point is \((x + 4,y)\).
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| Original Point | Rotation About the Origin 90° Clockwise | Reflection Across the X - AXIS | Translation 4 Units to the Right |
|---|---|---|---|
| (-3, 3) | (3, 3) | (-3, -3) | (1, 3) |
| (-2, -4) | (-4, 2) | (-2, 4) | (2, -4) |
| (x, y) | (y, -x) | (x, -y) | (x + 4,y) |