Answer
$(2,-5)$
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.
$f(x)=2x^{2}-8x+3$
$x=\frac{-(-8)}{2(2)}=2$
Now plug in the $x$ value in the original equation.
$2(2^{2})-8(2)+3=-5$
$(2,-5)$