Question

How would this be in a equation from the details?

Answer 1

Given that

$f(x)=2^x$

Horizontal shift 4 spaces right will give the equation

$g(x)=f(x-4)=2^{x-4}$

Vertically shifting 5 spaces up will give

$\begin{gathered} h(x)=g(x)+5 \\ h(x)=2^{x-4}+5 \end{gathered}$

Hence h(x) is the new function.