Answer
h(x)
Work Step by Step
The graph of $f(x)=4^{x}$ passes through (0,1) and (1,4)
($4^{0}=1$ and $4^{1}=4).$
This graph is not $f(x)=4^{x}$.
This graph passes through (0,$-1$) and ($-1,-4$),
which are obtained from (0,1) and (1,4) by:
reflecting about the y-axis $\qquad f(x)\rightarrow f(-x)$,
and then reflecting about the x axis,$\qquad f(-x)\rightarrow-f(-x).$
So this function is $-f(-x)=-4^{-x}=h(x)$
