Transformations of Graphs - Composite Transformations

Transformations of Graphs - Composite Transformations

The curve whose equation is \(y={{x}^{3}}-4\) undergoes, in succession, the following transformations:

A: Translation by 2 units in the negative x direction.

B: Scaling by a scale factor of \(\frac{1}{2}\) parallel to the x-axis.

C: Translation of 6 units in the positive y-direction.

D: Scaling by a scale factor of 5 parallel to the y-axis.

Find the equation of the resulting curve.

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Answer:\(y=5(2x+2)^3+10\)

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