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Instructions: For the following function, select all the types of transformations that are occurring from the original function of f(x)=6x𝑓(𝑥)=6𝑥. Function: f(x)=7(6)x−1+5𝑓(𝑥)=7(6)𝑥−1+5Question 6Select one or more:Vertical StretchVertical CompressionVertical Reflection (over x𝑥-axis)Vertical Shift UpVertical Shift DownHorizontal StretchHorizontal CompressionHorizontal Reflection (over y𝑦-axis)Horizontal Shift RightHorizontal Shift Left

Question

Instructions: For the following function, select all the types of transformations that are occurring from the original function of f(x)=6x𝑓(𝑥)=6𝑥. Function: f(x)=7(6)x−1+5𝑓(𝑥)=7(6)𝑥−1+5Question 6Select one or more:Vertical StretchVertical CompressionVertical Reflection (over x𝑥-axis)Vertical Shift UpVertical Shift DownHorizontal StretchHorizontal CompressionHorizontal Reflection (over y𝑦-axis)Horizontal Shift RightHorizontal Shift Left

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Solution

The transformations that are occurring from the original function of f(x)=6x to the function f(x)=7(6)x−1+5 are:

  • Vertical Stretch: The factor of 7 in front of the 6x indicates a vertical stretch by a factor of 7.
  • Horizontal Shift Left: The -1 inside the function indicates a horizontal shift to the left by 1 unit.
  • Vertical Shift Up: The +5 at the end of the function indicates a vertical shift up by 5 units.

This problem has been solved

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