Quadratic Graph Visualizer 📈

y = ax² + bx + c

Roots (x-intercepts)
x₁ = 3.00
x₂ = 1.00
Vertex (h, k)
(2.00, -1.00)
Axis of Symmetry: x = 2.00

About Quadratic Graph

A quadratic equation creates a U-shaped curve called a parabola. This tool plots the graph and calculates key properties like where it crosses the x-axis (roots) and its turning point (vertex).

Features

  • Visual Graph: See the shape of the parabola instantly.
  • Roots: Calculates real and complex roots.
  • Vertex: Finds the minimum or maximum point.
  • Axis of Symmetry: Shows the line dividing the parabola.

How to Use

  1. Enter coefficients a, b, and c.
  2. The graph updates automatically.
  3. View the calculated Roots and Vertex below.

Formulas

Quadratic Formula (Roots): x = [-b ± √(b² - 4ac)] / 2a

Vertex X: h = -b / 2a

Vertex Y: k = f(h) = ah² + bh + c

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