Question

Is `b/(2a)color(white)(..)` a:minimum b. Discriminant or c. Standard form of a quadratic equation. ?

Answer 1

Option a is part of it. It forms the x-coordinate of the minimum or maximum as appropriate. `x_("vertex") = (-1)xxb/(2a)`

Explanation:

This forms part of the 'completed square' formula.

`y=a(x+color(red)(b/(2a)))^2+k+c`

Where `k` is a correction removing the value introduced that is not in the original equation.

`a(b/(2a))^2+k=0` removes the introduced error.