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Which of the following describes the graph of y = RootIndex 3 StartRoot 8 x minus 64 EndRoot minus 5 compared to the parent cube root function?
stretched by a factor of 2 and translated 64 units right and 5 units down
stretched by a factor of 8 and translated 8 units right and 5 units down
stretched by a factor of 2 and translated 8 units right and 5 units down
stretched by a factor of 8 and translated 64 units right and 5 units down

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sqdancefan

Answer:

  (c) stretched by a factor of 2 and translated 8 units right and 5 units down

Step-by-step explanation:

The transformed function can be written as ...

  y = ∛(8x -64) -5 . . . . . . given

  y = ∛(8(x -8)) -5

  y = 2∛(x -8) -5

Where f(x) = ∛x, this is of the form ...

  y = 2f(x-8) -5

These numbers in these places correspond to ...

  • vertical stretch by a factor of 2
  • translation 8 units right
  • translation 5 units down
Ver imagen sqdancefan

Answer:

C.  stretched by a factor of 2 and translated 8 units right and 5 units down

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