Algebra 2 Quadratics Test

Quadratic Functions

• The vertex form of a quadratic function is f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Discriminant of a Quadratic Equation

• The discriminant of a quadratic equation ax^2 + bx + c = 0 is b^2 - 4ac.
• It determines the nature of the roots of the equation:
  • If b^2 - 4ac > 0, the equation has two distinct real roots.
  • If b^2 - 4ac = 0, the equation has one repeated real root.
  • If b^2 - 4ac < 0, the equation has no real roots.

Axis of Symmetry

• The axis of symmetry of a parabola given by the equation y = 3x^2 - 6x + 2 is x = -b / 2a, which is x = (-(-6)) / (2 * 3) = 1.

Test your understanding of quadratics in Algebra 2 with this quiz. Explore topics such as quadratic equations, vertex form, and solving quadratic functions.