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Which transformations have been performed on the graph of [tex]f(x)=\sqrt[3]{x}[/tex]to obtain the graph of [tex]g(x)-2\sqrt[3]{x}-1[/tex]



Select each correct answer.




translate the graph down

reflect the graph over the x-axis

translate the graph up

translate the graph to the right

compress the graph closer to the x-axis

stretch the graph away from the x-axis

translate the graph to the left

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sqdancefan

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Answer:

  • translate the graph down
  • reflect the graph over the x-axis
  • stretch the graph away from the x-axis

Step-by-step explanation:

We assume your function is intended to be ...

  [tex]g(x)=-2\sqrt[3]{x}-1[/tex]

The coefficient -2 does two things. Because it is negative, it causes the graph to be reflected across the x-axis. Because it is greater than 1, it causes the graph to be stretched away from the x-axis.

The added constant of -1 causes each y-value to be lower than it was, so translates the graph down 1 unit.

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