SPS SPS FM 2023 February — Question 2 3 marks

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2023
SessionFebruary
Marks3
TopicFunction Transformations
TypeIdentify/describe sequence of transformations between two given equations
DifficultyModerate -0.8 This is a straightforward transformation question requiring students to decompose y = e^{2x+3} into y = e^{2(x+3/2)} or equivalent, identifying a horizontal stretch by factor 1/2 and translation. It's routine A-level work with minimal problem-solving, easier than average but not trivial since students must correctly order and describe the transformations.
Spec1.02w Graph transformations: simple transformations of f(x)1.02x Combinations of transformations: multiple transformations

A sequence of transformations maps the curve \(y = e^x\) to the curve \(y = e^{2x+3}\). Give details of these transformations. [3]

A sequence of transformations maps the curve $y = e^x$ to the curve $y = e^{2x+3}$.
Give details of these transformations. [3]

\hfill \mbox{\textit{SPS SPS FM 2023 Q2 [3]}}