vault backup: 2024-09-30 11:33:24
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@ -76,8 +76,11 @@ Given the form $y = A\tan(Bx - C) + D$ (the same applies for $\cot$)
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- The vertical shift is $D$
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- The vertical shift is $D$
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# Examples
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# Examples
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> Given $-2tan(\pi*x + \pi) - 1$
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> Given $-2tan(\pi*x + \pi) - 1$
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- $A = -2$, $B = \pi$, $C = -\pi$, $D = -1$
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$A = -2$, $B = \pi$, $C = -\pi$, $D = -1$
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- Stretch: $|-2| = 2$
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- Period: $\frac{\pi}{|\pi|} = 1$
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| Transformation | Equation |
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- Phase shift: $\frac{-\pi}{\pi} = -1$
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| -------------- | ------------------------- |
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- Vertical shift: $
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| Stretch | $\|-2\| = 2$ |
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| Period | $\frac{\pi}{\|\pi\|} = 1$ |
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| Phase shift | $ |
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| Vertical shift | $-1$ |
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