Given the function f(x) = 32 determine the equation of a new function, g(x), that is reflected over the x-axis and then shifted 2 units up.

Reflect over the x-axis:
[tex]-f(x)=-3^x[/tex]Shift 2 units up:
[tex]\begin{gathered} g(x)=-f(x)+2=-3^x+2 \\ g(x)=-3^x+2 \end{gathered}[/tex]