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/Exponents.md b/education/math/Exponents.md index 82ae67e..0bfffbe 100644 --- a/education/math/Exponents.md +++ b/education/math/Exponents.md @@ -1,4 +1,14 @@ +The standard form of an exponential function looks something like this: +$$ a(b)^{cx-h}+k $$ +- $a$: Vertical stretch/compression +- $c$ Horizontal stretch/compression +- $h$: Horizontal translation left or right +- $k$: Vertical translation up or down +- $b$: + A negative exponent is the equivalent of `1/x`, EG $$ x^{-2} = \frac{1}{x^2} $$ +An equation in the base form $2^x$ will have an asymptote of $y = 0$. + Putting a negative in front of something like $2^x$ flips it over the *x axis* ($-2^x$). Putting a negative in front of the exponent ($2^{-x}$) flips it over the y axis. \ No newline at end of file