f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x + n) - shift the graph n units left
f(x - n) - shift the graph n units right
-----------------------------------------------------------------
We have f(x) = x² - 3x - 2.
Shift 4 units left, therefore we have:
f(x + 4) = (x + 4)² - 3(x + 4) - 2
Answer: B. g(x) = (x + 4)² - 3(x + 4) - 2