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25 Cards in this Set
- Front
- Back
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f(x)+k |
Vertical translation k units up |
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f(x)-k |
Vertical translation k units down |
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f(x+h) |
Horizontal translation h units to the left |
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f(x-h) |
Horizontal translation h units to the right |
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y=-f(x) |
Reflects f across the x-axis |
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y=f(-x) |
Reflects f across the y-axis |
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y=f^-1(x) |
Reflects f across the line y=x (y and x are interchanged) |
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y=af(x), a>1 |
Vertical stretch by a factor of "a" |
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y=af(x), 0<a<1 |
Vertical shrink (or compression) by a factor of "a" |
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y=f(bx), b>1 |
Horizontal shrink (or compression) by a factor of "1/b" |
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y=f(bx), 0<b<1 |
Horizontal stretch by a factor of "1/b" |
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y=absolute value of f(x) |
Makes any negative y-values of y=f(x) positive |
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y=f(absolute value of x) |
Replaces any negative x-values with positive x-values and graphs the corresponding y-values |
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1st key point of sine: (0,_) |
0 |
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2nd key point of sine: (pi/2,_) |
1 |
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3rd key point of sine: (pi, _) |
0 |
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4th key point of sine: (3pi/2, _) |
-1 |
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5th key point of sine: (2pi, _) |
0 |
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1st key point of cosine: (0, _) |
1 |
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2nd key point of cosine: (pi/2, _) |
0 |
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3rd key point of cosine: (pi, _) |
-1 |
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4th key point of cosine: (3pi/2, _) |
0 |
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5th key point of cosine: (2pi, _) |
1 |
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Domain |
All reals |
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Range |
[-1, 1] |
