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Higher November 2017 Unit 1 Q18

WJECHigherCurrent spec1 markGraphical Transformations

18. The following diagram shows a sketch of the curve \(y = f(x)\).

Curve y = f(x): starts on the x-axis between -4 and 0, rises to a maximum at (0, 2), falls to touch the x-axis at (4, 0), then rises

The curve is transformed, as shown below.

Transformed curve: maximum at (-4, 2) and touching the x-axis at (0, 0)

Using function notation, complete the following to give the equation of the transformed curve. [1]

The equation of the transformed curve is

\(y\) = …………………………………………

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