A-LevelMathematicsFunctions9709/12 · Oct/Nov 2021 · Q25 Marks
The graph of y = f(x) is transformed to the graph of y = f(2x) – 3.
- (a)Describe fully the two single transformations that have been combined to give the resulting transformation.[3]
- (b)The point P (5, 6) lies on the transformed curve y = f(2x) – 3. State the coordinates of the corresponding point on the original curve y = f(x).[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.
- [B1] Stretch with [scale factor] either ± 2 or ± 1/2
- [B1] Scale factor 1/2 in the x-direction
- [B1] Translation of 3 units in negative y-direction
- [B1] x-coordinate is 10
- [B1] y-coordinate is 9
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