# Changing the order in a sequence of transformations may change the final result. Investigate each pair of transformations below to determine if reversing the order will produce a different result. Support your conclusions with specific examples and/or mathematical arguments.Horizontal shift; vertical shift.Vertical stretch; reflection in x-axis.

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Changing the order in a sequence of transformations may change the final result. Investigate each pair of transformations below to determine if reversing the order will produce a different result. Support your conclusions with specific examples and/or mathematical arguments.

Horizontal shift; vertical shift.

Vertical stretch; reflection in x-axis.

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Horizontal shift; vertical shift: Let f(x) be a function. And we apply horizontal shift c on it. Then the new function will be f(x-c). If we apply vertical shift d on f(x-c) then it becomes f(x-c)+d.

If we switch the transformations: let's apply d vertical shift on f(x) fi...

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