## Exam-Style Question on Transformation of Graphs## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 358. This question is similar to one that appeared on an IB Standard paper in 2011. The use of a calculator is not allowed.

Two functions are defined as follows: \(f(x) = 2\ln x\) and \(g(x) = \ln \frac{x^2}{3}\).

(a) Express \(g(x)\) in the form \(f(x) - \ln a\) , where \(a \in {{\mathbb{Z}}^ + }\) .

(b) The graph of \(g(x)\) is a transformation of the graph of \(f(x)\) . Give a full geometric description of this transformation.

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