#### Answer

The graph $f(x) = |x|$ has been transformed horizontally to the right by 2 units, vertically down by 1 unit and with a vertical shrink by $\frac{1}{2}$.
The equation of the graph will be $g(x) = \frac{1}{2} |x - 2| -1$.

#### Work Step by Step

As seen, the graph $f(x) = |x|$ has been transformed horizontally to the right by 2 units, vertically down by 1 unit and with a vertical shrink by $\frac{1}{2}$.
The equation of the graph will be $g(x) = \frac{1}{2} |x - 2| -1$.