# Describe the Transformation g(x)=(x-4)^3

The parent function is the simplest form of the type of function given.
The transformation being described is from to .
The horizontal shift depends on the value of . The horizontal shift is described as:
– The graph is shifted to the left units.
– The graph is shifted to the right units.
Horizontal Shift: Right Units
The vertical shift depends on the value of . The vertical shift is described as:
– The graph is shifted up units.
– The graph is shifted down units.
In this case, which means that the graph is not shifted up or down.
Vertical Shift: None
The graph is reflected about the x-axis when .
Reflection about the x-axis: None
The graph is reflected about the y-axis when .
Reflection about the y-axis: None
Compressing and stretching depends on the value of .
When is greater than : Vertically stretched
When is between and : Vertically compressed
Vertical Compression or Stretch: None
Compare and list the transformations.
Parent Function:
Horizontal Shift: Right Units
Vertical Shift: None
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: None
Describe the Transformation g(x)=(x-4)^3

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