Answer
See below:
Work Step by Step
Now, consider the given function $g\left( x \right)=f\left( x+2 \right)+3$.
This function is of the form $y=f\left( x+d \right)+c$ ; therefore, first shift the graph of the function $y=f\left( x \right)$ to the left side by d-units and then raise the new graph of the function $f\left( x+d \right)$ by c units.
Here, $d=2$ and $c=3$
