Higher January 2021 Paper 1 Q21

EdexcelHigherCurrent spec4 marksGraphical Transformations

21 A curve has equation   \(y = \mathrm{f}(x)\)

The coordinates of the minimum point on this curve are \((-9, 15)\)

(a) Write down the coordinates of the minimum point on the curve with equation
(i) \(y = \mathrm{f}(x + 3)\)
(ii) \(y = \dfrac{1}{3}\mathrm{f}(x)\) (2)

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

Graph of y = a cos(x + b) for x from 0 to 360: starts at (0, 0), falls to a minimum of -2 at x = 90, crosses the x-axis at 180, reaches a maximum of 2 at x = 270 and returns to 0 at 360

Given that \(a \gt 0\) and that   \(0 \lt b \lt 360\)

(b) find the value of \(a\) and the value of \(b\). (2)
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