# Describe the Transformation y=(x-10)^3

The parent function is the simplest form of the type of function given.
Simplify .
Use the Binomial Theorem.
Simplify each term.
Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
For a better explanation, assume that is and is .
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 .
The graph is reflected about the y-axis when .
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