diff --git a/education/math/MATH1060 (trig)/Graphing.md b/education/math/MATH1060 (trig)/Graphing.md index b1a9603..e0fae7c 100644 --- a/education/math/MATH1060 (trig)/Graphing.md +++ b/education/math/MATH1060 (trig)/Graphing.md @@ -5,6 +5,13 @@ Given the above graph: - A full wavelength takes $2\pi$ # Manipulation -| Formula | Movement | -| ------------------ | -------- | -| $ y = cos(x) - 1 $ | | +| Formula | Movement | +| ---------------- | ---------------------------------- | +| $y = cos(x) - 1$ | 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*. + +