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Higher June 2019 Unit 1 Q17

WJECHigherCurrent spec2 marksFunctionsGraphical Transformations

17.

(a) The following diagram shows a sketch of the curve \(y = f(x)\).
Curve y = f(x): from (-2, 2) decreasing through (0, 0) to a minimum at (1, -2), then up to (2, 0)

The curve is transformed, as shown below.

Transformed curve: from (-2, 4) decreasing through (0, 2) to a minimum at (1, 0), then up to (2, 2)

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

\(y =\) ……………………………………

(b) The following diagram again shows a sketch of the curve \(y = f(x)\).
Curve y = f(x): from (-2, 2) decreasing through (0, 0) to a minimum at (1, -2), then up to (2, 0)

The curve is transformed, as shown below.

Transformed curve: from (-2, 0) down to a minimum at (-1, -2), up through (0, 0) to (2, 2)

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

\(y =\) ……………………………………

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