2021 ASRJC Promo Q2

2021 ASRJC Promo Q2

4 marks
Promo

A graph with the equation \(y=\frac{3}{{{x}^{2}}+2}\) undergoes, in succession, the following transformations:

\(A\): A translation of \(1\) unit in the direction of the negative \(x\)-axis.

\(B\): A scaling parallel to the \(x\)-axis by a scale factor of \(\frac{1}{3}\).

\(C\): A reflection in the \(y\)-axis.

Determine the equation of the resulting curve.[4]

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Answer:\(y=\frac1{3x^2-2x+1}\).

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