Describe the Transformations and Give the Equation for the Graph $f ( x ) = | x |$

Describe the transformations and give the equation for the graph.
-

A) It is the graph of $f ( x ) = | x |$ translated 6 units to the left, stretched vertically by a factor of 2 and translated 4 units down. The equation is $y = 2 | x + 6 | - 4$
B) It is the graph of $f ( x ) = | x |$ translated 6 units to the left, shrunken vertically by a factor of $\frac { 1 } { 2 }$ and translated 4 units down. The equation is $y = \frac { 1 } { 2 } | x + 6 | - 4$

C) It is the graph of $f ( x ) = | x |$ translated 6 units to the left, shrunken vertically by a factor of $\frac { 1 } { 2 }$ and translated 4 units down. The equation is $y = \frac { 1 } { 2 } | x - 6 | - 4$

D) It is the graph of $f ( x ) = | x |$ translated 6 units to the left, stretched vertically by a factor of 2 and translated 4 units down. The equation is $y = 2 | x - 6 | + 4$