Write the quadratic function in the form $g(x)= a(x-h)^2 + k$ Write the quadratic function in the form $g(x)= a(x-h)^2 + k$ 
Then, give the vertex of its graph.
$g(x)= 2x^2-16x+35$
~
I tried, but still lost:
$(2x^2-16x)+35$
$2(x^2-4^2-16)+35$
$2(x^2-4^2-32+35$

$2x^2-16x+35$
$=2(x^2-8x)+35$
$=2(x^2-8x+16)-2\cdot 16+35$
$=2(x-4)^2+3$
There you go. Completing the square.
The vertex is easy from this. It's just x=4 since squares are always nonnegative so to make the square part zero you let x=4. (to be more specific the vertex is (4, 3))
