Math Algebra

Equation Simulator

Explore equations and their graphs.
Adjust coefficients to see how solutions and curves change.

Shape the equation

Move a slider or type an exact value. Coefficients support −1,000 to 1,000.

a · quadratic coefficient

b · linear coefficient

c · constant

Graph window

Visible x: left boundary

Visible x: right boundary

a = 0 becomes a linear or constant equation. Negative discriminants produce complex conjugate roots.

Your equation, in real time

Live simulation

Solution(s) for f(x) = 0 —

Discriminant —

Vertex —

y-intercept —

Explore the curve

Current Baseline Real roots Inspected point

Inspect x

Selected x: —
f(x): —
Slope f′(x): —

Pin a curve to compare coefficient changes.

Inputs and calculation details

Input / result	Value

Keep this experiment

Open Funify Notes

Save a result-card image, the plotted curve, selected point, inputs, and baseline in this browser. Saving happens only when you press the button.

How to read this simulation

For a ≠ 0, D = b² − 4ac. D > 0 gives two real roots, D = 0 a repeated real root, and D < 0 complex conjugates. Vertex: (−b / 2a, −D / 4a). Real roots appear on the x-axis; complex roots do not.

When a = 0, bx + c = 0 is solved instead. If a = b = 0, c = 0 has every real number as a solution; otherwise there is no solution. Displayed values are rounded; calculations use full available precision.