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Higher June 2022 Unit 1 Q16

WJECHigherCurrent spec2 marksGraphical Transformations

16.

(a) The following diagram shows a sketch of the curve \(y = f(x)\).
Curve y = f(x): a U-shaped curve from (-4, 4) down to touch the x-axis at (-2, 0) and up to (0, 2)

The curve is transformed, as shown below.

Transformed curve: an upside-down U from (-4, -4) up to touch the x-axis at (-2, 0) and down to (0, -2)

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

\(y =\) ……………………

(b) The following diagram shows a sketch of the curve \(y = f(x)\).
Curve y = f(x): a U-shaped curve from (-4, 4) down to touch the x-axis at (-2, 0) and up to (0, 2)

The curve is transformed, as shown below.

Transformed curve: a U-shaped curve from (0, 4) down to touch the x-axis at (2, 0) and up to (4, 2)

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

\(y =\) ……………………