Custom Equation Plotter Sandbox

Equations Legend

f_1(x) = a * sin(x) + b

f_2(x) = x**2 - 4*x + c

Define Constants

Plot Equations

How to use

Variables: Use x as your input variable.
Constants: Reference defined parameters (e.g. a, b, c).
Operators: Use * (multiply), / (divide), ** or ^ (power).
Constants: PI and E.
Functions: sin(), cos(), tan(), abs(), sqrt(), log().

Variable Adjuster

Domain Min (X Min)-10

-30-2

Domain Max (X Max)10

230

Range Min (Y Min)-10

-30-2

Range Max (Y Max)10

230

Custom Equation Plotter

PLOT

Mathematical equation plotting represents relationships between variables as curves in a coordinate space. By parsing algebraic expressions and constants, we evaluate f(x) over a continuous domain, mapping results from Cartesian coordinate grids onto screen-space pixels dynamically.

y = f(x)

Whiteboard Solver Steps

Step 1

Define Domain & Range

Establish the viewport dimensions. The input domain of X ranges from $x_{min}$ to $x_{max}$ , and the output range of Y spans from $y_{min}$ to $y_{max}$ .

Step 2

Parse Expressions & Constants

Initialize custom constants (e.g. $a, b, c$ ) and input equations. The compiler parses algebraic strings and converts functions like $\sin(), \cos(), \sqrt()$ to their mathematical equivalents.

Step 3

Scale & Map Coordinates

Compute output values $y = f(x)$ at tiny intervals. Translate Cartesian graph coordinates $(x, y)$ to screen-space pixel coordinates $(sx, sy)$ and link them using smooth SVG paths.

Real-World Applications & Depth

A custom function plotter maps user-defined mathematical relationships onto a visual coordinate system. Input strings are parsed, converting standard mathematical functions (like sin, cos, abs, sqrt) to their programming equivalents. By specifying constants (e.g. amplitude, phase, offset) and evaluating the function step-by-step over a domain range of X values, we compute corresponding Y range values. These values are then scaled and mapped from cartesian coordinates into screen-space SVG pixel coordinates to render smooth path lines.

Function Behavior & Limits

Visualize limits, asymptotes, and coordinate crossings. Compare how linear, quadratic, exponential, and trigonometric curves behave as X increases.

Parameter Tuning

Understand transformation matrices and shifts. Adjust constants like coefficients, intercepts, and offsets to observe real-time scaling and translation of curves.

Numerical Modeling

Model experimental physics and chemistry datasets mathematically. Overlay multiple curves to find intersections, roots, and fit criteria.

VisualLabs