Answer:
Step 1) Rotate 90 degrees counterclockwise around the origin
Step 2) Shift 5 units down
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Explanation:
Focus on one of the corner points of figure S.
I'll focus on (9,1)
Apply a 90 degree counterclockwise rotation on this point, and rotate it around the origin.
The rotation rule is [tex](x,y) \to (-y,x)[/tex]
This means [tex](9,1) \to (-1,9)[/tex] meaning (9,1) rotates to (-1,9)
Notice that (9,1) on figure S corresponds to (-1,4) on figure T.
This means after arriving to (-1,9), we need to somehow apply a shifting translation to get to (-1,4)
To get from (-1,9) to (-1,4) we shift the point down 5 units.
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To recap:
- We rotated (9,1) around the origin 90 degrees counterclockwise to get to (-1,9)
- Then we shifted (-1,9) down 5 units to get to (-1,4)
If you apply that rotation and shifting rule to each of the four corner points of figure S, then you'll end up with figure T.
Figure S is known as the preimage while figure T is the image.
