Quadratic Expressions-II

Quadratic Expressions-II
Maximum and Minimum values of a Quadratic Expression:
i)    We have seen that when a>0, the parabola is open upward, the expression y=ax²+bx+c=0 have minimum value.
    The minimum value =\(\frac{{4ac - {b^2}}}{{4a}}\)
    The minimum value occurs at \(x = \frac{{ - b}}{{2a}}\)
ii)    Whe have seen that when a<0, the parabola is opendownwards the expression y=ax²+bx+c have maximum value
    The maximum value =\(\frac{{4ac - {b^2}}}{{4a}}\)
    The maximum value occurs at \(x = \frac{{ - b}}{{2a}}\)