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vault backup: 2024-01-03 10:24:56

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zleyyij 2024-01-03 10:24:56 -07:00
parent 8be38d79ae
commit 84d38a96d7
2 changed files with 6 additions and 2 deletions
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2
.obsidian/plugins/obsidian-git/data.json vendored
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@ -2,7 +2,7 @@
"commitMessage": "vault backup: {{date}}", "commitMessage": "vault backup: {{date}}",
"autoCommitMessage": "vault backup: {{date}}", "autoCommitMessage": "vault backup: {{date}}",
"commitDateFormat": "YYYY-MM-DD HH:mm:ss", "commitDateFormat": "YYYY-MM-DD HH:mm:ss",
"autoSaveInterval": 1, "autoSaveInterval": 5,
"autoPushInterval": 0, "autoPushInterval": 0,
"autoPullInterval": 5, "autoPullInterval": 5,
"autoPullOnBoot": false, "autoPullOnBoot": false,

6
education/math/Quadratics.md
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@ -16,6 +16,10 @@ To convert to standard form given a vertex of a quadratic equation and a point t
$$ y = a^2 + bx + c $$ $$ y = a^2 + bx + c $$
# End Behavior of functions # End Behavior of functions
If the largest exponent of a function is **even**, both sides of a function will point the same way. 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.
$$ x \rightarrow \infty, \space f(x) \rightarrow \infty $$ $$ x \rightarrow \infty, \space f(x) \rightarrow \infty $$
$$ x \rightarrow -\infty, \space f(x) \rightarrow -\infty $$ $$ x \rightarrow -\infty, \space f(x) \rightarrow -\infty $$
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.