Math  /  Algebra

Questionf(x)=2x28x+6f(x)=2 x^{2}-8 x+6
The quadratic function has a minimum value. The value is \square

Studdy Solution
Calculate the minimum value of the function by substituting x=2 x = 2 back into the function f(x) f(x) .
f(2)=2(2)28(2)+6 f(2) = 2(2)^2 - 8(2) + 6
f(2)=2×416+6 f(2) = 2 \times 4 - 16 + 6
f(2)=816+6 f(2) = 8 - 16 + 6
f(2)=2 f(2) = -2
The minimum value of the function is 2\boxed{-2}.

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