Explain How the Graph Of $g ( x ) = \frac { | x + 1 | - 2 } { 3 }$

Multiple Choice

Explain how the graph of $g ( x ) = \frac { | x + 1 | - 2 } { 3 }$ is obtained from the graph of $f = | x |$ .

A) Shift the graph of $f$ one unit to the right, then shift downward
$\frac { 2 } { 3 }$ units.
B) Shift the graph of $f$ one unit to the right, then shift downward
$2$ units.
C) Shift the graph of $f$ one unit to the left, then shrink vertically by a factor of
$\frac { 2 } { 3 }$ .
D) Shift the graph of $f$ one unit to the left, then shift upward
$\frac { 2 } { 3 }$ units.
E) Shift the graph of $f$ one unit to the left, shrink vertically by a factor of
$\frac { 1 } { 3 }$ , shift downward
$\frac { 2 } { 3 }$ units.