State a sequence of transformations that will transform the curve with equation \(y=2\sin \left( 2x+

Question

State a sequence of transformations that will transform the curve with equation $y=2\sin \left( 2x+\alpha \right)\cos \left( x \right)$ on to the curve with equation $y=-2\sin \left( 4x+3\alpha \right)\cos \left( 2x+\alpha \right)$, where $\alpha $ is a positive constant.[3]

Accepted Answer

Translation of the graph by $\alpha $ units in the negative $x$-direction, Scaling parallel to $x$-axis by a factor of $\frac{1}{2}$, Reflection in the $x$-axis. OR Scaling parallel to $x$-axis by a factor of $\frac{1}{2}$, Translation of the graph by $\frac{\alpha }{2}$ units in the negative $x$-axis direction, Reflection in the $x$-axis.

2021 ACJC Promo Q1

2021 ACJC Promo Q1

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