TornadoTools

Frontend only • Math.js + Function Plot

Graph Calculator

Plot standard, polar, and parametric equations, inspect roots and intersections, and move around the graph with fast zoom and pan controls.

2Dgraphing
functions
Liveanalysis
Mobileready
Add an equation to start plotting.

Drag to pan. Use mouse wheel or pinch to zoom.

Roots
No roots yet
Intersections
No intersections yet
Asymptotes
No asymptotes yet

Supported input

Unicode math like , π, , and sin is converted to clean Math.js expressions before plotting.

Graph features

Roots, intersections, derivative curves, and asymptote hints update from the visible equations in real time.

Mobile layout

The graph stays large and the controls slide into a bottom drawer on smaller screens.

Why this page is useful

Why this graph calculator page is useful

Students, teachers, engineers, and self-learners can graph equations, inspect behaviour, and verify answers without leaving the browser.

Better equation feedback

The editor accepts Unicode input like x², π, √, and θ, then normalizes it into safe Math.js expressions.

Advanced graph analysis

Roots, intersections, asymptotes, and derivative curves update from the visible graphs in real time.

Fast desktop and mobile flow

The graph stays large while the controls move into a bottom drawer on smaller screens for better focus.

FAQ

Graph calculator questions

Do I need to type y = before every equation?

No. For standard graphs, enter the expression only. The page keeps the graph list clean and does not force an extra y = label.

Why does x² + y² = 25 not plot in standard mode?

That is an implicit relation, not a single function of x. Use parametric mode with x(t) = 5cos(t) and y(t) = 5sin(t), or rewrite it as upper and lower functions.

Can I graph polar and parametric equations?

Yes. Switch the mode, enter r(θ) or x(t)/y(t), and the engine will plot the curve with the same graph canvas.

Does it support roots and intersections?

Roots, intersections, asymptote hints, and derivative overlays are calculated from the visible equations.

Can I use complex expressions like |x| or x²?

Yes. The parser normalizes brackets, superscripts, square roots, absolute values, degrees, and implicit multiplication.