What is the name of the topic/field that covers graphing $\frac{1}{f(x)}$, $|f(x)|$, and $f(|x|)$, given the graph of $f(x)$?

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Given the function $f(x)$ and its graph I am asked to graph the functions $\frac{1}{f(x)},$ $|f(x)|$ and $f(|x|)$.


What is the name of this topic?

I know it is some sort of transformation, yet I can't seem to find any resources online for it.