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

question 450

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 4 units to the right, shrunken vertically by a factor of \(\frac { 1 } { 2 }\) and translated 3 units up. The equation is \(y = \frac { 1 } { 2 } \sqrt { x + 4 } + 3\)
• B) It is the graph of \(\mathrm { f } ( \mathrm { x } ) = \sqrt { \mathrm { x } }\) translated 4 units to the right, stretched vertically by a factor of 2 and translated 3 units up. The equation is \(y = 2 \sqrt { x - 4 } + 3\)
• C) It is the graph of \(f ( x ) = \sqrt { x }\) translated 4 units to the right, stretched vertically by a factor of 2 and translated 3 units up. The equation is \(y = 2 \sqrt { x + 4 } + 3\)
• D) It is the graph of \(f ( x ) = \sqrt { x }\) translated 4 units to the right, shrunken vertically by a factor of \(\frac { 1 } { 2 }\) and translated 3 units up. The equation is \(\mathrm { y } = \frac { 1 } { 2 } \sqrt { x - 4 } + 3\)