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education/math/MATH1060 (trig)/Graphing.md
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@ -75,12 +75,13 @@ Given the form $y = A\tan(Bx - C) + D$ (the same applies for $\cot$)
- The phase shift is $\frac{C}{B}$ - The phase shift is $\frac{C}{B}$
- The vertical shift is $D$ - The vertical shift is $D$
# Examples # Examples
> Given $-2tan(\pi*x + \pi) - 1$ > Given $-2\tan(\pi*x + \pi) - 1$
$A = -2$, $B = \pi$, $C = -\pi$, $D = -1$ $A = -2$, $B = \pi$, $C = -\pi$, $D = -1$
| Transformation | Equation | | Transformation | Equation |
| -------------- | ------------------------- | | -------------- | ------------------------- |
| Stretch | $\|-2\| = 2$ | | Stretch | $\|-2\| = 2$ |
| Period | $\frac{\pi}{\|\pi\|} = 1$ | | Period | $\frac{\pi}{\|\pi\|} = 1$ |
| Phase shift | $ | | Phase shift | $\frac{-\pi}{\pi} = -1$ |
| Vertical shift | $-1$ | | Vertical shift | $-1$ |