Answer
See graphs
Work Step by Step
We are given the function:
$f(x)=x^2+4x+2$
Rewrite the function building the square:
$f(x)=(x^2+4x+4)-4+2=(x+2)^2-2$
We start graphing the parent function $a(x)=x^2$.
Then horizontally shift $a(x)$ 2 units to the left to get $b(x)=(x+2)^2$.
Finally, vertically shift $b(x)$ 2 units downward to get $f(x)=(x+2)^2-2$.
See graphs