RosemaryA697730 RosemaryA697730
  • 30-10-2022
  • Mathematics
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Point A is mapped to point of (-1,4) (x-4,y+1) following a reflection over y = 4.What are the coordinates of A?

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JuliahnaL520267 JuliahnaL520267
  • 30-10-2022

Transformations

We are given the coordinates of point A=(-1,4).

A transformation (x-4,y+1) is applied. This means the x-coordinate is subtracted 4 and the y-coordinate is added 1 to get the point A' = (-1-4,4+1) = (-5, 5)

Now it's required to reflect A' over y=4

The vertical distance from the point to y=4 is 5-4 = 1.

Thus, we subtract 2*1 = 2 to the y-coordinate to get A'' = (-5,5-2) = (-5,3)

The final coordinates of the original point are (-5,3)

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