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2D Cartesian Graphing Calculator

Plots mathematical functions in real time with interactive grid scaling, table of values, and multi-function comparisons.

f₁(x) =
f₂(x) =
f₃(x) =
Presets:
X: [-10.0, 10.0]Y: [-10.0, 10.0]
Drag on canvas to Pan • Click +/- to ZoomCenter: (0.0, 0.0)

What is a Graphing Calculator?

A graphing calculator plots mathematical functions and relations on a two-dimensional Cartesian coordinate system, transforming algebraic equations into visual geometric curves.

Formula & Step-by-Step Calculation

y = f(x) (mapped across domain [x_min, x_max])

Continuous Cartesian coordinate mapping.

Worked Step-by-Step Examples

Example 1

Graph parabola f(x) = x² - 4 across [-10, 10]

Solution: Vertex at (0, -4), x-intercepts at x = -2 and x = 2
• Solve x² - 4 = 0 ⟹ x = ±2; Vertex at x = 0 ⟹ y = -4

Common Real-World & Academic Use Cases

  • ✓ High school and college algebra polynomial analysis
  • ✓ Calculus tangent line and local extrema exploration
  • ✓ Precalculus domain and range verification

How to Use the 2D Cartesian Graphing Calculator

1

Enter Function

Type an expression like x^2 - 4 or sin(x).

2

Explore Graph

Inspect curve shapes, roots, and intercepts on the interactive canvas.

Frequently Asked Questions

Q: What functions can be graphed?

Polynomials, trigonometric (sin, cos, tan), rational (1/x), exponential (e^x), and logarithmic functions.

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