SOLUTION: what are the coordinates of the vertex? f(x)= 2x^2-3x+4

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Question 1085585: what are the coordinates of the vertex?
f(x)= 2x^2-3x+4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square to get into vertex form,
f%28x%29=+2x%5E2-3x%2B4
f%28x%29=2%28x%5E2-%283%2F2%29x%29%2B4
f%28x%29=2%28x%5E2-%283%2F2%29x%2B%283%2F4%29%5E2%29%2B4-2%283%2F4%29%5E2
f%28x%29=2%28x-3%2F4%29%5E2%2B4-9%2F8
f%28x%29=2%28x-3%2F4%29%5E2%2B32%2F8-9%2F8
f%28x%29=2%28x-3%2F4%29%5E2%2B23%2F8
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(h,k)=(3%2F4,23%2F8)