Answer
$(2,7)$
Work Step by Step
Since the equation is not in standard form, use the formula $x=\frac{-b}{2a}$ to find the $x$ coordinate of the vertex.
$f(x)=-2x^{2}+8x-1$
$x=\frac{-(8)}{2(-2)}=2$
Now plug in the $x$ value in the original equation.
$-2(2)^{2}+8(2)-1=7$
$(2,7)$
