Examples

Describe the Transformation
Step 1
The parent function is the simplest form of the type of function given.
Step 2
Find the y-intercepts.
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Step 2.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 2.2
Using the slope-intercept form, find the y-intercept for .
Step 2.3
Using the slope-intercept form, find the y-intercept for .
Step 2.4
List the y-intercepts.
Step 3
The vertical shift depends on the y-intercept value , where
Step 4
Since , the graph is shifted down units.
Shifted down units
Step 5
Find the slopes.
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Step 5.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 5.2
Using the slope-intercept form, find the slope for .
Step 5.3
Using the slope-intercept form, find the slope for .
Step 5.4
List the slopes.
Step 6
The vertical stretch depends on the slope.
If , vertical compression
If , vertical stretch
If , no vertical stretch or compression.
Step 7
Since , the graph is vertically stretched.
Vertical stretch
Step 8
Since and do not have opposite signs, the graph is not reflected about the y-axis.
Not reflected about the y-axis
Step 9
Describe the transformation from the function .
Shifted down units
Vertical stretch
Step 10
Enter YOUR Problem
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