Describe the Transformations and Give the Equation for the Graph $f ( x ) = \sqrt { x }$

question 183

Multiple Choice

Describe the transformations and give the equation for the graph.
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• A) It is the graph of \(f ( x ) = \sqrt { x }\) translated 5 units to the right, shrunken vertically by a factor of \(\frac { 1 } { 3 }\) and translated 4 units up. The equation is \(y = \frac { 1 } { 3 } \sqrt { x + 5 } + 4\)
• B) It is the graph of \(f ( x ) = \sqrt { x }\) translated 5 units to the right, shrunken vertically by a factor of \(\frac { 1 } { 3 }\) and translated 4 units up. The equation is \(\mathrm { y } = \frac { 1 } { 3 } \sqrt { \mathrm { x } - 5 } + 4\)
• C) It is the graph of \(f ( x ) = \sqrt { x }\) translated 5 units to the right, stretched vertically by a factor of 3 and translated 4 units up. The equation is \(y = 3 \sqrt { x + 5 } + 4\)
• D) It is the graph of \(f ( x ) = \sqrt { x }\) translated 5 units to the right, stretched vertically by a factor of 3 and translated 4 units up. The equation is \(y = 3 \sqrt { x - 5 } + 4\)

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