notes/education/math/Exponents.md

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

Without stretch:

a^{x-b}+c

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.