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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
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commit 84d38a96d7
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2
.obsidian/plugins/obsidian-git/data.json vendored
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@ -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,

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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
$$ y = a^2 + bx + c $$
# 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.