SOLUTION: 1.what are the values of A,B and C if 2x^2 -x-3=A(x+B)^2+C 2.what is the minimum value of 2x^2-x-3

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Question 292696: 1.what are the values of A,B and C if 2x^2 -x-3=A(x+B)^2+C
2.what is the minimum value of 2x^2-x-3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1. Complete the square to put into vertex form.
2x%5E2+-x-3=+2%28x%5E2+-%281%2F2%29x%29-3
2x%5E2+-x-3=+2%28x%5E2+-%281%2F2%29x%2B%281%2F16%29%29-3-%281%2F8%29
2x%5E2+-x-3=+2%28x-1%2F4%29%5E2-%2825%2F8%29
A=2
B=-1%2F4
C=-25%2F8
2. From vertex form, the min occurs at the vertex x=1%2F4.
ymin=-25%2F8