Quadratic Equation Formula

1.Standard Form of a Parabola: \[ y = ax^2 + bx + c \] 2.Quadratic Formula: \[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \] 3.Vertex Form:\[ y = a(x - h)^2 + k \] 4.Factored Form: \[ y = a(x - r_1)(x - r_2) \] 5.General Form: \[ ax^2 + bx + c = 0 \] 6.Discriminant: \[ D = b^2 - 4ac \] 7.Axis of Symmetry: \[ x = -\frac{b}{2a} \] 8.Sum of the Roots: \[ x_1 + x_2 = -\frac{b}{a} \] 9.Product of the Roots: \[ x_1 x_2 = \frac{c}{a} \] 10.Quadratic Equation with Complex Roots: \[ x = \frac{-b \pm i\sqrt{4ac - b^2}}{2a} \]