A-LevelMathematicsFunctions9709/12 · Oct/Nov 2025 · Q35 Marks
The graph of y = f(x) is transformed to the graph of y = f(3x) +2. Describe fully the two transformations which have been combined to give the resulting graph.
- (a)The graph of y = f(x) is transformed to the graph of y = f(3x) +2. Describe fully the two transformations which have been combined to give the resulting graph.[3]
- (b)A different graph has equation y = g(x). This graph is stretched by scale factor 3 in the y-direction and then reflected in the y-axis. Write down the equation of the transformed graph in terms of the function g.[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.
- [B1] Translation by vector (0, 2) (or 'shift up by 2 units' or 'translation 2 units in y-direction').
- [B2] Stretch, scale factor 1/3, parallel to the x-axis (or 'in the x-direction' or 'horizontally') (B1 for two correct components, B0 for one or zero).
- [B2] y = 3g(-x) (B1 for 3 outside function, B1 for -x inside function)
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