Answer
The graph is shown below.
Work Step by Step
The graph of the function $g\left( x \right)={{\left( x+3 \right)}^{2}}+1$ is achieved by shifting the graph of the function $f\left( x \right)={{x}^{2}}$ to $3$ units to the left and shifting the graph of the function $g\left( x \right)={{\left( x+3 \right)}^{2}}$ to $1$ unit up.
