Your friend hands you a graph of the performance statistics of the latest powerboat to be produced. He says, “I know this graph is f(x) = –2(x – 4)3 – 3 but I can’t remember how it is related to the graph of x3.” Explain to your friend how the graph f(x) is a translation of the graph x3.

Question

anonymous · Answer

@peachpi

anonymous · Answer

where does the x3 even come from?

anonymous · Answer

They took the graph of $x^3$, and used some combination of rotation, translation, and stretching to get f(x).

anonymous · Answer

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