Higher June 2019 Paper 1R Q21

EdexcelHigherCurrent spec4 marksGraphical Transformations

21 A curve has equation \(y = \text{f}(x)\)
There is only one maximum point on the curve.
The coordinates of this maximum point are \((4, 3)\)

(a) Write down the coordinates of the maximum point on the curve with equation
(i) \(y = \text{f}(x - 5)\)
(ii) \(y = 3\text{f}(x)\) (2)

Here is the graph of \(y = a\sin(bx)°\) for \(0 \leqslant x \leqslant 360\)

Graph of y = a sin(bx) for x from 0 to 360 and y from −2 to 2: starting at O it falls to −2 at x = 30, rises to 2 at x = 90, and completes three full cycles by x = 360
(b) Find the value of \(a\) and the value of \(b\). (2)
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