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