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

question 273

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 6 units to the right, reflected across the \(x\)-axis and translated 2 units down. The equation is \(y = \sqrt { - x + 6 } - 2\)
• B) It is the graph of \(f ( x ) = \sqrt { x }\) translated 6 units to the right, reflected across the \(y\)-axis and translated 2 units down. The equation is \(y = \sqrt { - x - 6 } - 2\)
• C) It is the graph of \(f ( x ) = \sqrt { x }\) translated 6 units to the right, reflected across the \(x\)-axis and translated 2 units down. The equation is \(y = - \sqrt { x + 6 } - 2\)
• D) It is the graph of \(f ( x ) = \sqrt { x }\) translated 6 units to the right, reflected across the \(x\)-axis and translated 2 units down. The equation is \(y = - \sqrt { x - 6 } - 2\)

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