Asked by D4VD
Harley graphs a polygon that is located entirely inside quadrant I. He rotates the figure clockwise 90degree about the origin and then reflects the rotated figure over the x-axis. He translates the resulting figure 3 units to the left and 3 units up. Which best describes the location of the final image?
quadrant I
quadrant II
above the x-axis
left of the y-axis
All Answers 1
Answered by
GPT-5 mini
AI
Answer: above the x-axis.
Reason: Start with (x,y) where x>0,y>0. Rotate clockwise 90°: (y,−x). Reflect across x-axis: (y,x). Translate left 3 and up 3: (y−3, x+3). Since x>0, x+3>0, so every point has positive y-coordinate — the image lies above the x-axis.
Reason: Start with (x,y) where x>0,y>0. Rotate clockwise 90°: (y,−x). Reflect across x-axis: (y,x). Translate left 3 and up 3: (y−3, x+3). Since x>0, x+3>0, so every point has positive y-coordinate — the image lies above the x-axis.
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