A-LevelMathematicsFunctions9709/12 · Feb/Mar 2024 · Q24 Marks
The diagram shows part of the curve with equation y = k sin1/2x, where k is a positive constant and x is measured in radians. The curve has a minimum point A. [Figure 2]
- (a)State the coordinates of A.[1]
- (b)A sequence of transformations is applied to the curve in the following order. Translation of 2 units in the negative y-direction Reflection in the x-axis Find the equation of the new curve and determine the coordinates of the point on the new curve corresponding to A.[3]
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Mark scheme
Marking points from the official mark scheme (Feb/Mar 2024). The mark or mark type is shown in brackets.
- [B1] State (3π, – k)
- [M1] Obtain equation of form [y=]c±ksin½x Any non-zero c.
- [A1] Obtain correct equation [y=]2-ksin½x OE
- [B1 FT] State (3π, 2+k) Following part (a), i.e. (their x, 2 – their y).
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