16 lines
605 B
Markdown
16 lines
605 B
Markdown
The standard form of an exponential function looks something like this:
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$$ a(b)^{cx-h}+k $$
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- $a$: Vertical stretch/compression
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- $c$ Horizontal stretch/compression
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- $h$: Horizontal translation left or right
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- $k$: Vertical translation up or down
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Without stretch:
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$$ a^{x-b}+c $$
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A negative exponent is the equivalent of `1/x`, EG
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$$ x^{-2} = \frac{1}{x^2} $$
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An equation in the base form $2^x$ will have an asymptote of $y = 0$.
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Putting a negative in front of something like $2^x$ flips it over the *x axis* ($-2^x$).
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Putting a negative in front of the exponent ($2^{-x}$) flips it over the y axis. |