Answer :

Given the following functions:

[tex]\begin{gathered} h(x)=\frac{1}{2}|x| \\ \\ f(x)=|x| \end{gathered}[/tex]

The function h(x) is a transformation of the function f(x)

From the given function, we can find the relation between them as follows:

[tex]h(x)=\frac{1}{2}*f(x)[/tex]

So, the last equation represents a vertical compression as the factor multiplied by f(x) is less than 1

So, the graph of the functions will be as shown in option C

So, the asnwer will be C

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