vault backup: 2024-01-18 10:21:27

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.