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Transformations of Functions

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  • Name all the transformations that occur in the function.
    left 3, up 7
  • What is the axis of symmetry of the function?
    x=0
  • What is the range of the function?
    y is GREATER than or equal to -3
  • What is the axis of symmetry of the function?
    x=-4
  • What is the equation of the function shown?
    y=|x-2|-4
  • What is the equation of the function shown?
    y=|x+4|+2
  • Name all the transformations that occur in the function.
    x-axis reflection, left 8, up 6
  • What is the vertex of the function?
    (2,0)
  • What is the equation of the function shown?
    y=|x-3|+1
  • What is the vertex of the function?
    (4,1)
  • Name all the transformations that occur in the function.
    vertical stretch of factor 3, right 5
  • What is the range of the function?
    y is LESS than or equal to 2
  • Name all the transformations that occur in the function.
    x-axis reflection, up 11
  • What is the vertex of the function?
    (0,7)
  • What is the equation of the function shown?
    y=|x+1|-2
  • Name all the transformations that occur in the function.
    x-axis reflection, vertical compression of 2/5, left 1
  • Name all the transformations that occur in the function.
    vertical compression of factor 1/2, right 3, up 5
  • Name all the transformations that occur in the function.
    x-axis reflection, vertical compression of factor 1/3
  • Name all the transformations that occur in the function.
    x-axis reflection, vertical stretch of factor 4, right 8
  • Name all the transformations that occur in the function.
    x-axis reflection, vertical stretch of factor 5/3, up 7
  • Name all the transformations that occur in the function.
    vertical compression of factor 2/3, up 10
  • Name all the transformations that occur in the function.
    x-axis reflection, vertical stretch of factor 2, right 6, down 3
  • Name all the transformations that occur in the function.
    x-axis reflection, vertical stretch of factor 6
  • Name all the transformations that occur in the function.
    vertical stretch of factor 5, left 2, down 3
  • What is the vertex of the function?
    (-6,-8)
  • Name all the transformations that occur in the function.
    Vertical stretch of factor 2, up 9
  • Name all the transformations that occur in the function.
    x-axis reflection, left 5