## Algebra 1

The graph of $\sqrt {x-1}$ is very similar to the graph of $\sqrt x$. A difference between the two graphs is the domain of each graph. $\sqrt {x-1}$ has a domain of $(1, infinity)$ while $\sqrt x$ has a domain of $(0, infinity)$.
Also, the graph of $\sqrt {x-1}$ is shifted one unit to the right (compared to $\sqrt x$). The graph is included--the green line is $\sqrt x$, and the orange line is $\sqrt {x-1}$.