Question 1062776
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in the function f(x)=(x-2)^2+4, the minimum value occurs when x is
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. . . x = 2. (answer).


Indeed, at x = 2 the function f(x) has the value of 4.


For any other value the function is greater than 4, because it adds the positive addend (x-2)^2 to 4.


It does not require any other/more explanations.