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For functions and transformations, how does f(2x) mean that the x values are halved?


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f(2x) means there was a factor 1/2 dilation parallel to the x-axis of f(x).

This is because for every value you plug in to f(2x), you only need to plug in half the x-value to get what you'd normally get with f(x).

For example, if you plug x=1 into f(x), you get f(1).

But in order to get f(1) with f(2x), you need to plug in x=0.5.

So for every y-value (e.g. f(1)), the x-coordinate has been halved.


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