A-LevelMathematicsFunctions9709/12 · Feb/Mar 2021 · Q56 Marks
In the diagram, the graph of y = f(x) is shown with solid lines. The graph shown with broken lines is a transformation of y = f(x). [Figure 5.1]
- (a)Describe fully the two single transformations of y = f(x) that have been combined to give the resulting transformation.[4]
- (b)State in terms of y, f and x, the equation of the graph shown with broken lines.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Feb/Mar 2021). The mark or mark type is shown in brackets.
- [2] (Stretch) (factor 3 in y direction or parallel to the y-axis)
- [2] (Translation) (4, 0) (Translation 4 (units) in x direction. N.B. Transformations can be given in either order.)
- [2] [y =] 3f(x - 4) (B1 for 3, B1 for (x – 4) with no extra terms.)
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