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Depends how much is being added to which x-coordinate:

If a constant amount is added to every x-coordinate, the polygon is translated (parallel to the x-axis).

[This first possibility is what I think you are really asking, however:]

If an amount is added which depends linearly upon the y-coordinate of the x-coordinate, the polygon is sheared (parallel to the x-axis).

If an amount is added which depends linearly upon the x-coordinate, the polygon is stretched (parallel to the x-axis).

If a random amount is added, the polygon is randomly transformed.

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10y ago

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