Answer
Please see the graph.
Work Step by Step
$y=2^{x-4}$
$x=3$
$y=2^{x-4}$
$y=2^{3-4}$
$y=2^{-1}$
$y=1/2$
$(3,1/2)$
$x=4$
$y=2^{x-4}$
$y=2^{4-4}$
$y=2^{0}$
$y=1$
$(4,1)$
$x=5$
$y=2^{x-4}$
$y=2^{5-4}$
$y=2^1$
$y=2$
$(5,2)$
The points $(3,1/2)$, $(4,1)$, and $(5,2)$ are on the curve.