how do i graph these?
$\displaystyle y=2^{(3(x-5))}$
and the base function
$\displaystyle y=2^x$
Anything of the form $\displaystyle y = a^x$ where $\displaystyle a$ is positive passes through (0,1) and (1,a), has no stationary points and has an asymptote with $\displaystyle y\to 0$ as $\displaystyle x \to -\infty$.
This is the base function translated 5 right and with a dilation of 1/3 parallel to the x axis.