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Algebra Examples
Step 1
The parent function is the simplest form of the type of function given.
Step 2
The transformation being described is from to .
Step 3
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
Step 4
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.
Vertical Shift: Up Units
Step 5
The graph is reflected about the x-axis when .
Reflection about the x-axis: None
Step 6
The graph is reflected about the y-axis when .
Reflection about the y-axis: None
Step 7
Compressing and stretching depends on the value of .
When is greater than : Vertically stretched
When is between and : Vertically compressed
Vertical Compression or Stretch: Compressed
Step 8
Compare and list the transformations.
Parent Function:
Horizontal Shift: Right Units
Vertical Shift: Up Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: Compressed
Step 9