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.
$g(x)= 2x^2-16x+35$
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I tried, but still lost:
$(2x^2-16x)+35$
$2(x^2-4^2-16)+35$
$2(x^2-4^2-32+35$

You have few mistakes.
It should be 
$2(x^2 + 4^2 - 8x) + 35 - 2 \cdot 4^2$
= $2(x - 4)^2 + 35 - 32$
= $2(x - 4)^2 + 3$
