Precalculus Examples

Describe the Transformation
,
Step 1
The transformation being described is from to .
Step 2
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.
In this case, which means that the graph is not shifted to the left or right.
Horizontal Shift: None
Step 3
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
Step 4
The graph is reflected about the x-axis when .
Reflection about the x-axis: Reflected
Step 5
The graph is reflected about the y-axis when .
Reflection about the y-axis: None
Step 6
Compressing and stretching depends on the value of .
When is greater than : Vertically stretched
When is between and : Vertically compressed
Vertical Compression or Stretch: Stretched
Step 7
Compare and list the transformations.
Horizontal Shift: None
Vertical Shift: None
Reflection about the x-axis: Reflected
Reflection about the y-axis: None
Vertical Compression or Stretch: Stretched
Step 8
Enter YOUR Problem
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