Answer
a) II b) I c) III d) IV
Work Step by Step
$f(x)+a$ means a vertical translation of $a$ units.
$f(x-a)$ means a horizontal translation of $a$ units.
Hence, we have the pairs:
a) II (this is the graph of $f(x)$ translated up by $2$ units).
b) I (this is the graph of $f(x)$ translated to the left by $3$ units).
c) III (this is the graph of $f(x)$ translated to the right by $2$ units).
d) IV (this is the graph of $f(x)$ translated down by $4$ units).