Higher June 2022 Paper 2R Q22

EdexcelHigherCurrent spec4 marksGraphical Transformations

22 The point \(A\) with coordinates (–3, 2) lies on the straight line with equation \(y = \mathrm{f}(x)\)

(a) Find the coordinates of the image of the point \(A\) on the straight line with equation
(i) \(y = \mathrm{f}(x) - 3\) (1)
(ii) \(y = \mathrm{f}\left(\dfrac{x}{2}\right)\) (1)

Here is a sketch of part of the curve with equation \(y = \mathrm{g}(x)\)

Sketch of an n-shaped curve y = g(x) crossing the y-axis above O, with the point B (p, q) on the curve to the right of its maximum point

The point \(B\) with coordinates \((p, q)\) lies on the curve.

(b) Find the coordinates of the image of the point \(B\) on the curve with equation\[y = -\mathrm{g}(x - c)\]where \(c\) is a constant. (2)
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