Curve Identifier - Automatically Detect Curve Types from Any Equation

Graphiti can recognise curve types automatically from equation input. It works across Cartesian, implicit, parametric and polar plotting, detects named curves such as parabola, circle, rose and folium families, can label multiple curves inside composite implicit equations, and pairs naturally with Graphiti's automatic asymptote detection for full curve behaviour analysis.

Graphiti showing automatic curve shape identification

What kinds of curves can Graphiti identify?

  • Conics and linear forms: circle, ellipse, parabola, hyperbola, rectangular hyperbola, line, line pair, and degenerate conic forms.
  • Polar curves: rose curves, cardioids, limacons (inner loop, dimpled, convex), circles, and Archimedean spirals.
  • Named and structured curves: folium of Descartes, scaled folium of Descartes, semi-cubical parabola, reciprocal-square curves, reciprocal-power curves, and catenaries.
  • Implicit equations with multiple components, for example circle + line or line + parabola in product-form equations.
  • Parametric curve families, including line, circle, ellipse, parabola, hyperbola, semi-cubical parabola, and folium forms.

Built for students, teachers and fast curve lookup

When students ask what shape an equation produces, Graphiti helps them move quickly from expression to named graph. It can distinguish common exam questions such as parabola versus circle, identify conic forms, and classify many polar and implicit examples directly from the input equation.

For teachers, Graphiti works as a practical curve classification tool in lessons and revision sessions, including implicit and polar curve identification. It is also useful when you need automatic curve recognition for shared examples, model answers, or quick checks while building tasks.

If you are searching for a graphing calculator that can name curves automatically, Graphiti provides equation-to-curve identification across multiple plotting modes and combines this with asymptote analysis where relevant.