Let be a translation through

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let TAT_A be a translation through (−23)\begin{pmatrix}-2\\3\end{pmatrix}, TBT_B be a reflection in the yy-axis, and TCT_C be a vertical stretch with scale factor 55. Find the resulting function when f(x)=xf(x)=\sqrt{x} has the following transformations applied. In each case, state the domain and range of the transformed function. (1) TAT_A then TBT_B then TCT_C (2) TCT_C then TAT_A then TBT_B (3) TCT_C then TBT_B then TAT_A

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