To translate the vertex P (which is at coordinates (4, 6)) 6 units down and 2 units to the right:
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Move down: From y = 6, moving 6 units down gives us: \[ 6 - 6 = 0 \] So, the y-coordinate is now 0.
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Move to the right: From x = 4, moving 2 units to the right gives us: \[ 4 + 2 = 6 \] So, the x-coordinate is now 6.
Therefore, the new coordinates of P′ are (6, 0).
The correct response is: (6, 0)