Respuesta :

f(x) = -3·2^(x-1) -1

  • reflection across the x-axis (multiplication by -1)
  • vertical expansion by a factor of 3 (multiplication by 3)
  • shift to the right 1 unit (replace x with x-1)
  • shift down 1 unit (add -1 to the function value)

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f(x) = -1/4·2^(x+1) -1

You may notice this is the same as the previous question, but with the vertical expansion factor 1/4 instead of 3, and the horizontal shift left instead of right.

  • reflection across the x-axis (multiplication by -1)
  • vertical compression by a factor of 4 (multiplication by 1/4)
  • shift to the left 1 unit (replace x with x+1)
  • shift down 1 unit (add -1 to the function value)
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