This effectively exchanges the X and Y coordinates for each point on the graph: x' = y, y' = x. Next you flip the sheet over a second time by holding the bottom-left and top-right corners, such that they remain where they are but the top-left and bottom-right corners exchange positions. The new graph is effectively x' = -x, y' = y. The vertical coordinates for all points on the graph remain unchanged. You begin by flipping the sheet over horizontally: everything on the left side of the graph moves to the right and everything on the right moves to the left. You manipulate the orientation of the sheet in order to transform the graph. There is a graph of some sort plotted on it as well. Imagine you have some coordinate axes printed on a square transparent sheet.
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