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Higher November 2020 Unit 1 Q17

WJECHigherCurrent spec2 marksGraphical Transformations

17.

(a) The following diagram shows a sketch of the curve \(y = f(x)\).
Sketch of y = f(x): a decreasing curve from x = −8 to x = 8, below the x-axis, crossing the y-axis at −5

The curve is transformed, as shown below.

Transformed curve: the same shape moved up so that it passes through the origin

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

\(y =\) ……………………

(b) The following diagram again shows a sketch of the curve \(y = f(x)\).
Sketch of y = f(x): a decreasing curve from x = −8 to x = 8, below the x-axis, crossing the y-axis at −5

The curve is transformed, as shown below.

Transformed curve: an increasing curve from x = −8 to x = 8, above the x-axis, crossing the y-axis at 5

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

\(y =\) ……………………

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