2.
The transformations \(\mathrm { R } , \mathrm { S }\) and T are defined as follows.
R : reflection in the \(x\)-axis
S : stretch in the \(x\)-direction with scale factor 3
T: translation in the positive \(x\)-direction by 4 units
- The curve \(y = \ln x\) is transformed by R followed by T . Find the equation of the resulting curve.
- Find, in terms of S and T, a sequence of transformations that transforms the curve \(y = x ^ { 3 }\) to the curve \(y = \left( \frac { 1 } { 9 } x - 4 \right) ^ { 3 }\). You should make clear the order of the transformations.
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