Answer
vertex is $(2,-9)$
Work Step by Step
$f(x)=x^2-4x-5$
vertex is $x=-b/2a$
$x=-b/2a$
$x=-(-4)/2*1$
$x=4/2$
$x=2$
$f(x)=x^2-4x-5$
$f(2)=2^2-4*2-5$
$f(2)=4-8-5$
$f(2)=-4-5$
$f(2)=-9$
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