Extreme point of quadratic equation

Proof of the formula of Extreme point of quadratic equation

The extreme point of quadratic function is the coordinate with the abscissa is the value of the symmetry axis and the ordinate is the extreme value. The coordinate pair of extreme points on the coordinate function of the extreme point in the function y = ax2 + bx + c  is as follows
The extreme point can be obtained from the first derivative concept, namely,

Substitute the value of x to the quadratic function y = ax2 + bx + c, 

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