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education/math/MATH1060 (trig)/Graphing.md
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@ -6,5 +6,12 @@ Given the above graph:
# Manipulation # Manipulation
| Formula | Movement | | Formula | Movement |
| ------------------ | -------- | | ---------------- | ---------------------------------- |
| $ y = cos(x) - 1 $ | | | $y = cos(x) - 1$ | Vertical shift down by 1 |
| $y = 2cos(x)$ | Vertical stretch by a factor of 2 |
| $y = -cos(x)$ | Flip over x axis |
| $y = cos(2x)$ | Horizontal shrink by a factor of 2 |
# Periodic Functions
A function is considered periodic if it repeats itself at even intervals, where each interval is a complete cycle, referred to as a *period*.