From a96b3ccb2579199cf663f0261647f7d78823117d Mon Sep 17 00:00:00 2001
From: zleyyij <75810274+zleyyij@users.noreply.github.com>
Date: Mon, 23 Sep 2024 12:01:19 -0600
Subject: [PATCH] vault backup: 2024-09-23 12:01:18

---
 education/math/MATH1060 (trig)/Graphing.md | 13 ++++++++++---
 1 file changed, 10 insertions(+), 3 deletions(-)

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*.
+
+