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Mathematics, 10.12.2020 20:10 072067
In the same way that other functions can be combined, a series of transformations can be combined into a single function. For example, this statement for the function S shows one way to represent the rotation of a point 270Β° counterclockwise about the origin followed by a translation 3 units to the left and 1 unit up: S(270, O)/ (x, y) = (y β 3, -x + 1).
Write a function to represent each series of transformations:
-rotation of 90 degrees counterclockwise about the origin, point O, then a reflection across the x-axis
-reflection across the y-axis, then a translation a units to the right and b units up
-translation a units to the right and b units up, then a rotation of 180 degrees counterclockwise about the origin, then a reflection across the y-axis
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