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

question 330

Multiple Choice

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 \(\mathrm { y } = 4 | \mathrm { x } - 5 | + 7\)

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