Explanation

A quadratic function is f(x) = ax² + bx + c

Graph features:

• Parabola shape (U-shaped)

• Vertex: highest or lowest point

• Axis of symmetry: x = −b / 2a

• Direction:

  • Opens up if a > 0

  • Opens down if a < 0

Roots are where the parabola intersects the x-axis.

Example: f(x) = x² − 4x + 3 → roots at x = 1 and x = 3