1MA0 Higher June 2015 Paper 1 Q24

EdexcelHigherOld spec4 marksGraphical Transformations

24

Curve y = f(x) with maximum point (3, 5)

The diagram shows part of the curve with equation \(y = \mathrm{f}(x)\).
The coordinates of the maximum point of the curve are (3, 5).

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

The curve with equation \(y = \mathrm{f}(x)\) is transformed to give the curve with equation \(y = \mathrm{f}(x) - 4\)

(b) Describe the transformation. (1)
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