Question

Consider a quadratic function \(f(x)=x^2 + mx + n\).

Find the real numbers \(m\) and \(n\) such that the maximum distance between \((x,0)\) and \((x, f(x))\) is minimum in the interval \([-1,~1]\)

Answer 1

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Answer 2

hey @rational so we want the max D to be an element of [-1,1]?

Answer 3

sorry distance

Answer 4

not only that but we want it to be a minimum of [-1,1]?

Answer 5

sorry \( x~\in ~[-1, 1] \)

we want to find \(m,~n\) such that the deviation of \(f(x)\) from \(x\) axis is minimum

Answer 6

oh okay