From 84d38a96d748e0a90999e3ccd9cd69dccdf28b43 Mon Sep 17 00:00:00 2001
From: zleyyij <zleyyij@noreply.users.github.com>
Date: Wed, 3 Jan 2024 10:24:56 -0700
Subject: [PATCH] vault backup: 2024-01-03 10:24:56

---
 .obsidian/plugins/obsidian-git/data.json | 2 +-
 education/math/Quadratics.md             | 6 +++++-
 2 files changed, 6 insertions(+), 2 deletions(-)

diff --git a/.obsidian/plugins/obsidian-git/data.json b/.obsidian/plugins/obsidian-git/data.json
index 7b1247f..4bc189e 100644
--- a/.obsidian/plugins/obsidian-git/data.json
+++ b/.obsidian/plugins/obsidian-git/data.json
@@ -2,7 +2,7 @@
   "commitMessage": "vault backup: {{date}}",
   "autoCommitMessage": "vault backup: {{date}}",
   "commitDateFormat": "YYYY-MM-DD HH:mm:ss",
-  "autoSaveInterval": 1,
+  "autoSaveInterval": 5,
   "autoPushInterval": 0,
   "autoPullInterval": 5,
   "autoPullOnBoot": false,
diff --git a/education/math/Quadratics.md b/education/math/Quadratics.md
index 7ffa2ac..3a732c4 100644
--- a/education/math/Quadratics.md
+++ b/education/math/Quadratics.md
@@ -16,6 +16,10 @@ To convert to standard form given a vertex of a quadratic equation and a point t
 $$ y = a^2 + bx + c $$
 # End Behavior of functions
 If the largest exponent of a function is **even**, both sides of a function will point the same way.
-As $x$ goes towards infinity, $f(x)$ will go towards infinity. As $f(x)$ goes towards $-\infty$, $f(x)$ will still go to infinity
+Given there's no negative coefficient, as $x$ goes towards infinity, $f(x)$ will go towards infinity. As $f(x)$ goes towards $-\infty$, $f(x)$ will still go to infinity. A negative coefficient will flip this.
 $$ x \rightarrow \infty, \space f(x) \rightarrow \infty $$
+
 $$ x \rightarrow -\infty, \space f(x) \rightarrow -\infty $$
+If the largest exponent of a function is **odd**, each side of the function will point towards a different direction. Given there's no negative coefficient, the left side of the graph will point down, and the right side will point up. A negative coefficient will flip this.
+
+The *least degree* of a polynomial is the number of turning points + 1.