Term
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Definition
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Term
Vertical Stretch
Horizontal Compression |
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Definition
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Horizontal Stretch
Vertical Compression |
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Definition
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Term
Vertical Shifts:
Add a constant to an entire function to shift it up. |
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Definition
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What is the vertical stretch and horizontal shift of:
f(x)=3x+2 |
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Definition
3x = Vertical Stretch
2 = Horizontal Shift |
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What is the vertical stretch and horizontal shift of:
f(x)=2x+3 |
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Definition
2x = Vertical Stretch
3 = Horizontal Shift |
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Term
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Definition
f(x-a) to go right if "a" is positive
f(x+a) to go left if "a" is positive |
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Term
| In What Order Should you Look For Shifts and Compressions? |
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Definition
1.) Horizontal Shifts
2.) Stretches and Compressions
3.) Reflections
4.) Vertical Shifts |
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Term
Reflections About the X-Axis
ex. f=sqrtx
g=-sqrtx |
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Definition
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Term
| If you horizontally shift your function then you must also... |
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Definition
| Shift the end points of your domain |
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Term
Reflections About the Y-Axis
ex. f=sqrtx
g=sqrt-x |
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Definition
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Definition
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Term
Difference of Functions
(f-g)(x) |
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Definition
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Term
Product of Functions
(f*g)(x) |
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Definition
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Quotient of functions
(f/g)(x) |
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Definition
| f(x)/g(x), where g(x) does not equal 0 |
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Term
| When taking the Domain of Two Functions... |
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Definition
| Combine their domains but then exclude any numbers that are not in both domains |
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