Algebra 1 · Quadratic Functions

Axis of Symmetry

Algebra 1 · Quadratic Functions

Definition

The axis of symmetry is the vertical line x = -b/(2a) that divides a parabola into two mirror images.

Examples

  • For y = x^2 - 2x - 3, the axis is x = 1.
  • For y = x^2 + 4x, the axis is x = -2.

Key rule

Use x = -b/(2a) to find the line of symmetry.

Memory hook

Axis of symmetry: x = -b over 2a.