I know $f(x-c)$ is the graph of $f(x)$ shifted to the right $c$ units, but is there any sort of intuitive way of looking at this?
2026-04-01 12:12:32.1775045552
Intuition behind transformations of functions (horizontal shifting)
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If you think of $x$ as units of time $t$ and and $f(t)$ as a function telling you what happens to you at time $t$ (for example at $t=3$, $f(3)$ translates into you eating breakfast), the transformation $f(t-c)$ basically means that whatever used to happen to you at time $t$ now happens earlier, at $t-c$ (for example, if $c=1$, you will be eating breakfast at $t=2$).
Is this the type of intuition you were looking for?