Math • Graphing
Graphing Calculator
Advanced graphing: Cartesian y=f(x), polar r(θ) and parametric x(t),y(t) with pan, zoom, grid, table, roots and intercept analysis.
Direct Answer
The graphing calculator renders 2D mathematical functions f(x) onto a high-performance HTML5 Canvas by sampling discrete points across defined coordinate windows (Xmin to Xmax), computing real roots, intercepts, and function values in real time.
Graph info
Table (sample)
Use pi, e, ^ for power, sin, sqrt etc. Drag to pan, wheel to zoom. Polar uses θ in chosen angle mode.
How to use
- 1Choose Cartesian, Polar or Parametric. Enter the expression (e.g., sin(x), 2*cos(theta), cos(t) / sin(t)).
- 2Set the range (X min/max or θ/t range) and angle mode. Click Plot.
- 3Drag to pan, wheel to zoom, use +/− buttons. Table shows sampled points; info shows roots and y-intercept.
Behind the plot
Cartesian: sample y=f(x) over 800 points • Polar: x=r·cosθ, y=r·sinθ • Parametric: (x(t), y(t))| Variable | Name | Meaning & Example |
|---|---|---|
| f(x) | Cartesian Function | Standard explicit single-variable equation (sin(x) + cos(2x)) |
| r(θ) | Polar Function | Radial distance defined as a function of polar angle (2*cos(theta)) |
| x(t), y(t) | Parametric Equations | Coordinates defined as functions of time parameter t (cos(t), sin(t)) |
Expressions are evaluated by the scientific parser, so you can use pi, e, ^, sqrt, sin, log etc. Gaps (e.g., 1/x at 0) break the line. Roots are found where y changes sign and linearly interpolated.
Examples
y = x^2 from -2 to 2
Parabola through (0,0) with roots none; table 0→0, 1→1, 2→4.
Points (-2,4)…(2,4)
Polar r = 2·cos(θ)
Circle radius 1 centered at (1,0).
θ 0→2, π/2→0