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Explanation:
The notation [tex](x,y) \to (x-6, y-1)[/tex] means that whatever the x coordinate is, we subtract 6 from it. At the same time, whatever the y coordinate is, we subtract 1 from it.
The point (x,y) = (6,0) means x = 6 and y = 0.
Therefore,
[tex](x,y) \to (x-6, y-1)\\\\(6,0) \to (6-6, 0-1)\\\\(6,0) \to (0, -1)[/tex]
Visually, the starting point (6,0) moves 6 units to the left and 1 unit down to arrive at (0,-1). See the diagram below.