Transformations of Graphs - Composite Transformations

Transformations of Graphs - Composite Transformations

Describe the sequence of transformations by which the graph \({{\left( \frac{x}{4}+2 \right)}^{2}}-{{\left( 5y-3 \right)}^{2}}=1\)may be obtained from the graph of \({{x}^{2}}-{{y}^{2}}=1\).

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Answer:A: Translation by \(2\) units in the negative \(x\)-direction B: Scaling by factor \(4\) parallel to the \(x\)-axis C: Translation by \(3\) units in the positive \(y\)-direction D: Scaling by factor \(\frac15\) parallel to the \(y\)-axis

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