Answer
See graph (red curve).
Work Step by Step
To obtain the graph of $y=\frac{1}{2}(x-1)^5-2$ from $y=x^5$, shift the curve 1 unit(s) to the right, compress vertically by a factor of $\frac{1}{2}$, then shift 2 unit(s) down. See graph (red curve).
