Answer
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Work Step by Step
In order to graph $\dfrac{1}{2}f(x)$ shrink the graph of $f(x)$ in the $y$-axis by $\dfrac{1}{2}$.
In order to graph $f\left(\frac{1}{2}x\right)$ shift the graph of $f(x)$ in the $x$-axis by $\dfrac{1}{2}$.