Answer
See the picture below.
Work Step by Step
By calculating the values of $f(x)=(x+2)^2$ (with blue) and $g(x)=x^2$ (with red) we can see that for every corresponding $f(x)$ and $g(x)$ value, each x value of $g(x)$ is 2 less than the x value of $f(x)$.
For drawing the exact parent graph, here is the table of values:
$g(-2)= -2^2=4$
$g(-1)= -1^2=1$
$g(0)= 0^2=0$
$g(1)= 1^2=1$
$g(2)=2^2=4$
Therefore the graph of $f(x)$ is exactly the same as the graph of $g(x)=x^2$ but translated 2 units left.
Meaning, that the transformation involves a horizontal shift to the left by $2$.
For drawing the exact graph of $f(x)$ here is the table of values of the given function:
$f(-4)=(-4+2)^2=4$
$f(-3)=(-3+2)^2=1$
$f(-2)=(-2+2)^2=0$
$f(-1)=(-1+2)^2=1$
$f(0)=(0+2)^2=4$