Identify the Transformation Shown in the Graph and Identify the Associated

question 96

Multiple Choice

Identify the transformation shown in the graph and identify the associated common function. Write the equation of the graphed function.

• A)Common function: \(y = x ^ { 3 }\) Transformation: horizontal shift 2 units to the rightEquation: \(y = ( x - 2 ) ^ { 3 }\)
• B)Common function: \(y = x\) Transformation: multiplied by \(\frac { 1 } { 2 }\) shrinkingEquation: \(y = \frac { 1 } { 2 } x\)
• C)Common function: \(y = x ^ { 2 }\) Transformation: reflection about the x-axisEquation: \(y = - x ^ { 2 }\)
• D)Common function: \(y = c\) Transformation: \(c\) is 7.Equation: \(y = 7\)
• E)Common function: \(y = \sqrt { x }\) Transformation: reflection about the x-axis and a vertical shift 1 unit upwardEquation: \(y = - \sqrt { x } + 1\)

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