Mathematics, 20.08.2019 19:00 marchellamazz123
{me} using the completing-the-square method, find the vertex of the function f(x) = 2x2 − 8x + 6 and indicate whether it is a minimum or a maximum and at what point. (2 points)
maximum at (2, −2)
minimum at (2, −2)
maximum at (2, 6)
minimum at (2, 6)
Answers: 3
![f(x)=2x^2-8x+6=2(x^2-4x+3)\\\\=2(x^2-2x\cdot2+4-1)=2(x^2-2x\cdot2+2^2-1)\\\\=2[(x-2)^2-1]=2(x-2)^2+2\cdot(-1)=2(x-2)^2-2\\-------------------------\\f(x)=a(x-k)^2+h\to the\ vertex:(k;\ h)\\\\therefore\ the\ coordinates\ of\ the\ vertex:(2;-2)\\a=2\ to\ the\ minimum.\\\\Your\ \boxed{Minimum:(2;-2)}](/tpl/images/0182/4286/917fa.png)
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{me} using the completing-the-square method, find the vertex of the function f(x) = 2x2 − 8x + 6 and...
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