Higher November 2024 Paper 3 Q21

EdexcelCurrent spec4 marksGraphical Transformations

21 Here is the graph of \(y = \mathrm{f}(x)\)

Graph of y = f(x) on a square grid with axes and origin O: three straight-line segments, a steep line down from upper left to a minimum point below the x-axis, a line up through O, then a horizontal line labelled y = f(x)
(a) On the grid, draw the graph of \(y = -\mathrm{f}(x)\) (1)

Here is a sketch of the graph of \(y = \sin x^\circ\)

Sketch of y = sin x degrees starting at O, rising to a maximum, falling through the x-axis to a minimum point marked P, then rising back to the x-axis

The point marked \(P\) is a turning point on the graph.

The graph of \(y = \sin x^\circ\) is translated to give the graph of \(y = \sin(x + 180)^\circ + 4\)

Following the translation the point \(P\), shown on the graph above, moves to point \(R\).

(b) Find the coordinates of \(R\). (3)
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