## Precalculus (6th Edition) Blitzer

Now, consider the given function $g\left( x \right)=\frac{1}{2}f\left( x-1 \right)$. This function is of the form $g\left( x \right)=cf\left( x-d \right).$ Therefore, in order to draw the graph of the function $g\left( x \right)$, first shift the graph of the function $f\left( x \right)$ to the right by $d$ units and then shift it vertically $c$ times. Here, $d=1\text{ and }c=\frac{1}{2}$.