A-LevelMathematicsFunctions9709/12 · May/June 2024 · Q25 Marks

The curve y = x² is transformed to the curve y = 4(x-3)²-8. Describe fully a sequence of transformations that have been combined, making clear the order in which the transformations have been applied.

The curve y = x² is transformed to the curve y = 4(x-3)²-8. Describe fully a sequence of transformations that have been combined, making clear the order in which the transformations have been applied.[5]

Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

[B1] Stretch factor 4 in y-direction/parallel to the y axis/vertically.
[B2] Translation (3/-8) or 3 parallel to the x axis or in the x direction, allow horizontally. or -8 parallel to the y axis or in the y direction, allow vertically.
[M1] Two translations, one in each direction, and a stretch only.
[A1] Correct order of operations. The stretch which must be in the in the y direction must come before the translation in the y direction.

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Topic: Functions, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source: A-Level Mathematics, May/June 2024 Paper 1 Variant 2, question 2.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content