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A quadratic function is of the form:
f(x) = ax2 + bx + c where a ≠0
If a > 0 then the quadratic has a minimum but its maximum, asymptotically, is +∞.
If a < 0 then the quadratic has a maximum but its minimum, asymptotically, is -∞.
The extremum (whichever it is) is attained when x = -b/2a.
The extreme value is f(-b/2a) = a*(-b/2a)2 + b(-b/2a) + c
= b2/4a - b2/2a + c = -b2/4a + c
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