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To translate a point right by 3 units and down by 2 units, we add 3 to the x-coordinate and subtract 2 from the y-coordinate.
For the point (-4,2):
The new x-coordinate is -4 + 3 = -1.
The new y-coordinate is 2 - 2 = 0.
So, the new point is (-1,0).
For the point (-4,6):
The new x-coordinate is -4 + 3 = -1.
The new y-coordinate is 6 - 2 = 4.
So, the new point is (-1,4).