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

AI Thread Summary
To determine the plot of f(2 - t/2) from the given function f(t), start by analyzing the transformations step by step. First, deduce the plot of f(t/2) from f(t), which involves a horizontal stretch. Next, derive the plot of f(-t/2) by reflecting f(t/2) across the y-axis. Finally, adjust the plot of f(-t/2) by shifting it to the right by 2 units to obtain f(2 - t/2). This systematic approach clarifies the transformations needed to visualize the specific interval.
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 explination
 
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