Answer
The graph is shown below:
Work Step by Step
We know that the graph of the function $ g\left( x \right)=f\left( x+2 \right)-1$ can be plotted as given below:
When the real positive number is c, then the graph of $ f\left( x+c \right)$ is the graph of $ f\left( x \right)$ shifted towards the left with c units and the graph of $ f\left( x-c \right)$ is the graph of $ f\left( x \right)$ shifted towards the right with c units.
And for a positive integer a, the graph of $ f\left( x \right)+a $ is the graph of $ f\left( x \right)$ shifted upwards with a units and the graph of $ f\left( x \right)-a $ is the graph of $ f\left( x \right)$ shifted downwards with a units.
Then, the graph of $ f\left( x+2 \right)-1$ would correspond to the graph of $ f\left( x \right)$ shifted towards 2 units to the left and 1 unit downwards.
So, plot the graph as given below:
