With regard to a function this is a correct statement. I can only assume you were not aware he was referring to the rule of a function when he said replacing x with y and y with -x produces a 90 deg anticlockwise rotation. I was wondering why you said the student was wrong? The student said “if you take a function y=f(x) and do the same thing i.e replace x with y and y with -x then the transformation is 90 deg anticlockwise.” When you look at the graph, you see that it is rotated 90 degrees clockwise from where it started.Ĭlick to expand.The OP understands that if a point (x,y) becomes (y,-x) it is being rotated 90 deg clockwise about the origin. However, since the sheet had already been flipped from the previous step, the final transformation becomes x' = y, y' = -x. 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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