Variational Analysis
A quadratic function is a polynomial function of degree two, typically expressed in the standard form $$f(x) = ax^2 + bx + c$$, where $$a$$, $$b$$, and $$c$$ are constants, and $$a eq 0$$. This type of function creates a parabolic graph that can open upwards or downwards, depending on the sign of the leading coefficient $$a$$. Quadratic functions have significant applications in various fields such as physics, economics, and engineering, particularly when dealing with optimization problems.
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