Answer
See the graph
Work Step by Step
$y=(x-5)^2-3$
The function is in quadratic form $y=a(x-h)^2+k$
with $a=1, h=5, k=-3$
The vertex is $(5,-3)$
Also the axis of symmetry is $x=5$
Find some other points:
$x=2 \rightarrow y=6$
$x=4 \rightarrow y=-2$
$x=6 \rightarrow y=-2$
$x=8\rightarrow y=6$