Answer
a) Graph II
b) Graph I
c) Graph III
d) Graph IV
Work Step by Step
a) The graph of $
f(x)+2
$ is the result of shifting the points of $f(x)$ $2$ units up. Hence it corresponds to, $\text{
Graph II
.}$
b) The graph of $
f(x+3)
$ is the result of shifting the points of $f(x)$ $3$ units to the left. Hence it corresponds to, $\text{
Graph I
.}$
c) The graph of $
f(x-2)
$ is the result of shifting the points of $f(x)$ $2$ units to the right. Hence it corresponds to, $\text{
Graph III
.}$
d) The graph of $
f(x)-4
$ is the result of shifting the points of $f(x)$ $4$ units down. Hence it corresponds to, $\text{
Graph IV
.}$
