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Higher November 2022 Unit 1 Q19

WJECHigherCurrent spec3 marksGraphical Transformations

19. The highest point of a curve is called a maximum point.
The diagram below shows a sketch of the curve with equation \(y = f(x)\).
The maximum point of this curve has coordinates (–5, 4).

Sketch of a n-shaped curve y = f(x) with maximum point at x = −5, y = 4, crossing the y-axis just above O
(a) For each of the following, write down the coordinates of the maximum point of the curve with the given equation.
(i) \(y = 2f(x)\) [1]

The coordinates of the maximum point are ( ……………… , ……………… ).

(ii) \(y = f(x - 7)\) [1]

The coordinates of the maximum point are ( ……………… , ……………… ).

(b) The curve with equation \(y = f(x)\) is reflected in the \(y\)-axis.
Write down the equation of the transformed curve.
You should use function notation. [1]

The equation of the transformed curve is

\(y =\) ……………………………………

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