Question: Given the graph of y=f(x) , does the order we apply the transformations y = af(b(x-h)+k when graphing matter? Justify your answer.This activity is open-ended

Given the graph of y=f(x) , does the order we apply the transformations y = af(b(x-h)+k when graphing matter? Justify your answer.This activity is open-ended and can be explored at many different levels. I know some students could spend many, many hours exploring the topic. I want you to limit the time you spend on it to 1-2 hours. On the other hand, if you are only spending 15 minutes on it, it is probably not enough to do an adequate job! If you do not know where to start, I suggest you pick a specific parent function. The straight line function is probably the hardest to work with so I would pick a parabola, a square root function or a cubic. Apply a set of transformations to this parent function to see what happens. Change the order of the transformation and again document what happens...hopefully that gets you started. Submit your completed answer to the appropriate dropbox

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