SPS SPS FM 2025 October — Question 10

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2025
SessionOctober
TopicFunction Transformations
TypeSequence of transformations order

10. The graph of \(y = \mathrm { e } ^ { x }\) can be transformed to the graph of \(y = \mathrm { e } ^ { 2 x - 1 }\) by a stretch parallel to the \(x\)-axis followed by a translation.
    1. State the scale factor of the stretch.
    2. Give full details of the translation. Alternatively the graph of \(y = \mathrm { e } ^ { x }\) can be transformed to the graph of \(y = \mathrm { e } ^ { 2 x - 1 }\) by a stretch parallel to the \(x\)-axis and a stretch parallel to the \(y\)-axis.
  1. State the scale factor of the stretch parallel to the \(y\)-axis.
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