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

Describe the transformations and give the equation for the graph.
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A) It is the graph of $f ( x ) = | x |$ translated 5 units to the left, shrunken vertically by a factor of $\frac { 1 } { 4 }$ and translated 7 units down. The equation is $y = \frac { 1 } { 4 } | x - 5 | - 7$
B) It is the graph of $\mathrm { f } ( \mathrm { x } ) = | \mathrm { x } |$ translated 5 units to the left, stretched vertically by a factor of 4 and translated 7 units down. The equation is $\mathrm { y } = 4 | \mathrm { x } + 5 | - 7$
C) It is the graph of $f ( x ) = | x |$ translated 5 units to the left, shrunken vertically by a factor of $\frac { 1 } { 4 }$ and translated 7 units down. The equation is $y = \frac { 1 } { 4 } | x + 5 | - 7$
D) It is the graph of $f ( x ) = | x |$ translated 5 units to the left, stretched vertically by a factor of 4 and translated 7 units down. The equation is $\mathrm { y } = 4 | \mathrm { x } - 5 | + 7$