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- anonymous

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.

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- anonymous

- schrodinger

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- anonymous

where does the x3 even come from?

- anonymous

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

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- anonymous

What's a, h, and k?|dw:1441294455335:dw|

- anonymous

would u like me to factor that?

- anonymous

no. just match up the numbers from your function written on the bottom, to you the format written on top.
Each of those letters represent something a transformation to the function. For example \(a = -2\). What are h and k?

- anonymous

|dw:1441295458463:dw|

- anonymous

\(a\) represents a vertical stretch. Since \(a\) is negative, the function has been reflected over the x-axis.
\(h\) represents a horizontal shift. Positive is right, negative is left.
\(k\) is vertical shift, positive is up, negative is down.

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