Quadratic
Calculator
Solve ax² + bx + c = 0. Get roots, discriminant, vertex, axis of symmetry, and a live parabola graph.
Coefficients
Equation
x² - 2x + 1 = 0
Discriminant (Δ = b² − 4ac)
0Zero
Roots
x = 1 (double root)
Vertex
(1, 0)
Axis of Symmetry
x = 1
Y-Intercept
(0, 1)
Opens
Upward
Increasing
x ≥ 1
Decreasing
x ≤ 1
Positive (f(x) > 0)
x ≠ 1
Negative (f(x) < 0)
None