Divide both sides of the equation ax2 bx c 0 by a. Y ax 2 bx c. For a quadratic equation ax2 bx c 0 the vertex is the value of x for which the equation will assume its minimum or maximum value depending on whether a is positive or negative.
The vertex is at x -b2a and the minimum value is -D4a where D b2 - 4ac12.
Then you can reverse the steps to go from the equation to the formula. Then we plug these coefficients in the formula. Steps on How to Derive the Quadratic Formula Step 1. Then simplify it further.