Transformations of Graphs - Reciprocal Graph, \(y=\frac{1}{f(x)}\)

Transformations of Graphs - Reciprocal Graph, \(y=\frac{1}{f(x)}\)

IB Year 5 | Grade 11
12 marks

The diagram below shows the graph of \(y = \mathrm{f}(x)\).

Sketch each of the following on a separate diagram, clearly indicating the \(y\)-intercept, turning point(s) and asymptote(s).

  1. \(y = 2\mathrm{f}(x - 2) + 1\)[3]
  2. \(y = -\mathrm{f}(x - 1) + 2\)[3]
  3. \(y = \mathrm{f}(-x + 1) - 2\)[3]
  4. \(y = \mathrm{f}(2x - 2) + 1\)[3]

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