Higher January 2020 Paper 1R Q22

EdexcelHigherCurrent spec4 marksGraphical Transformations

22 The graph of \(\;y = a\cos(x + b)^\circ\;\) for \(\;0 \leqslant x \leqslant 360\;\) is drawn on the grid.

Graph of y = a cos(x + b)° for 0 to 360 on a grid with y from −3 to 3; maximum at (60, 2.5), minimum at (240, −2.5), crossing the x-axis at 150 and 330
(a) Find the value of \(a\) and the value of \(b\). (2)

Another curve \(C\) has equation \(\;y = \mathrm{f}(x)\)
The coordinates of the minimum point of \(C\) are (4, 5)

(b) Write down the coordinates of the minimum point of the curve with equation
(i) \(y = \mathrm{f}(2x)\)
(ii) \(y = \mathrm{f}(x) - 7\)

(2)

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