Mastering Quadratic Equations

x = (-b ± √(b^2 - 4ac)) / 2a

ax^2 + bx + c = 0 (correct)

y = a(x - h)^2 + k

y = mx + b

The discriminant is a measure of how difficult the equation is to solve and has no relation to the number of real solutions.

The discriminant is b^2 - 4ac and if it is positive, there are two real solutions, if it is zero, there is one real solution, and if it is negative, there are no real solutions. (correct)

The discriminant is the coefficient of the x term and has no relation to the number of real solutions.

The discriminant is the value of the constant term and has no relation to the number of real solutions.

The vertex form is y = a(x + h)^2 + k and the vertex is (-h, k).

The vertex form is y = mx + b and the vertex is (0, b).

The vertex form is y = a(x - h)^2 + k and the vertex is (h, k). (correct)

The vertex form is y = ax^2 + bx + c and the vertex is (-b/2a, c).