Quadratic functions are polynomial functions of degree two, represented by the standard form $$f(x) = ax^2 + bx + c$$, where 'a', 'b', and 'c' are constants and 'a' is not equal to zero. These functions create a parabolic graph that can open upwards or downwards, depending on the sign of 'a'. Quadratic functions are essential in various mathematical applications including motion analysis, optimization problems, and solving related rates challenges.
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