Answer
$(x+2)^2-2$
See graph.
Work Step by Step
Step 1. $f(x)=x^2+4x+2=x^2+4x+4-2=(x+2)^2-2$
Step 2. To graph $f(x)$, start with $y=x^2$, shift 2 units to the left, then shift 2 units down. See graph.
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