Given a plot of f(x) how do I determine what a specific interval would look like

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SUMMARY

The discussion focuses on transforming the function f(t) to obtain the plot of f(2 - t/2). The process involves sequential transformations: first deducing f(t/2) from f(t), then f(-t/2) from f(t/2), and finally f(-t/2 + 2) from f(-t/2). This step-by-step approach clarifies how to manipulate function plots effectively. The user expresses gratitude for the logical explanation provided in the discussion.

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djpardi
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Try it one step at a time: if you are given the plot of f(t) then you can deduce the plot of f(t/2), then, from the plot of f(t/2) you can deduce the plot of f(-t/2), and finally, from the plot of f(-t/2) you can deduce the plot of f(-t/2 +2).
 
antonantal said:
Try it one step at a time: if you are given the plot of f(t) then you can deduce the plot of f(t/2), then, from the plot of f(t/2) you can deduce the plot of f(-t/2), and finally, from the plot of f(-t/2) you can deduce the plot of f(-t/2 +2).

I don't know why that wasn't clear to me initialy. Thanks for the logical explanation
 

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