Answer
The graph is shown below.
Work Step by Step
The steps to graph the function defined by equation $g\left( x \right)=f\left( x-1 \right)+1$ using the provided graph of the function $y=f\left( x \right)$ are as follows:
In the graph of the function $y=f\left( x \right)$ , add $1$ unit to each x-coordinate, to graph $g\left( x \right)=f\left( x-1 \right)$.
Thus, shift the graph of the function $y=f\left( x \right)$ , $1$ unit to the right.
In the graph of the function $g\left( x \right)=f\left( x-1 \right)$ , add $1$ unit to each y-coordinate, to graph $g\left( x \right)=f\left( x-1 \right)+1$.
Thus, shift the graph of the function $g\left( x \right)=f\left( x-1 \right)$ , $1$ unit up as shown above.