Transformations of Graphs - Composite Transformations

Transformations of Graphs - Composite Transformations

Describe the sequence of transformations by which the graph \((2x - 1)^{2} + \left(\frac{y}{2} + 1\right)^{2} = 4\) may be obtained from the graph of \(x^{2} + y^{2} = 4\).

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Answer:A: Translation by \(1\) unit in the positive \(x\)-direction B: Scaling by factor \(\frac12\) parallel to the \(x\)-axis C: Translation by \(1\) unit in the negative \(y\)-direction D: Scaling by factor \(2\) parallel to the \(y\)-axis

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