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The Value of Sliders
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1. Static Parabolas
- Static Parabolas - Horizontal Shifting
- Static Parabolas - Vertical Shifting
- Static Parabolas - Putting it all together
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2. Dynamic Parabolas
- Parabolas with Sliders - Impact of the b value
- Parabolas with Sliders - Impact of the c value
- Parabolas with Sliders - Putting it all together
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The Value of Sliders
Anthony Dove, Oct 13, 2023
Compare the activity sets under "Static Parabolas" to those under "Dynamic Parabolas". What are the affordances and constraints of each set of activities? Which may help students better understand function transformations?
Table of Contents
- Static Parabolas
- Static Parabolas - Horizontal Shifting
- Static Parabolas - Vertical Shifting
- Static Parabolas - Putting it all together
- Dynamic Parabolas
- Parabolas with Sliders - Impact of the b value
- Parabolas with Sliders - Impact of the c value
- Parabolas with Sliders - Putting it all together
Static Parabolas - Horizontal Shifting
In the "Input", enter . What do you notice about the graph's vertex?
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It is located at the origin, (0,0).
In the next input line, enter . How did the graph change compared to ?
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The graph shifted two units to the right.
In the next input line, enter . How did the graph change compared to ?
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• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
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Insert Math
The graph shifted two units to the left.
Consider . How do you think the graph will change compared to ? Now enter it to see!
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• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
The graph will shift five units to the right.
Consider . How do you think the graph will change compared to ? Now enter it to see!
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Underline [ctrl+u]
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Superscript
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Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
The graph will shift nine units to the left.
Parabolas with Sliders - Impact of the b value
The initial graph represents . What do you notice about the graph's vertex?
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Bold [ctrl+b]
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Underline [ctrl+u]
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Superscript
Subscript
Font colorAuto
Justify
Align left
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Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
Move the "b" slider so that it is greater than 0. How did the graph change compared to ? How did the equation change?
Font sizeFont size
Very smallSmallNormalBigVery big
Bold [ctrl+b]
Italic [ctrl+i]
Underline [ctrl+u]
Strike
Superscript
Subscript
Font colorAuto
Justify
Align left
Align right
Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
The graph shifted b units to the right. The b value was subtracted from x and that expression was squared.
Move the "b" slider so that it is less than 0. How did the graph change compared to ? How did the equation change?
Font sizeFont size
Very smallSmallNormalBigVery big
Bold [ctrl+b]
Italic [ctrl+i]
Underline [ctrl+u]
Strike
Superscript
Subscript
Font colorAuto
Justify
Align left
Align right
Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
The graph shifted b units to the left. The b value was added to x and that expression was squared.
Consider . How will the graph change compared to ? Now check it!
Font sizeFont size
Very smallSmallNormalBigVery big
Bold [ctrl+b]
Italic [ctrl+i]
Underline [ctrl+u]
Strike
Superscript
Subscript
Font colorAuto
Justify
Align left
Align right
Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
The graph will shift six units to the right.
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