Interactive Demo

Conic Sections: The Focus-Directrix Explorer

Conic Sections: The Focus-Directrix Explorer is a free, interactive learning demo from the Precalculus 2e course on Lykke. It helps you build intuition for Conic Sections, Sequences and Series, Limits, Continuity. Play with it directly in your browser — it features 4 sliders and a live visual canvas. This demo lives in the “Analytic Geometry and Intro to Calculus” section of the course.

Preview of the Conic Sections: The Focus-Directrix Explorer interactive demo
Preview of Conic Sections: The Focus-Directrix Explorer — play the live version below.
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How to use this demo

  1. Drag the sliders to change the inputs and watch the visualization update in real time.
  2. Experiment freely — there's nothing to break, and every change is reversible.

What you'll explore

Frequently asked questions

What does the Conic Sections: The Focus-Directrix Explorer demo do?

Currently an Ellipse: the ratio of distances is constant. Conic Sections: The Focus-Directrix Explorer lets you explore this hands-on instead of only reading about it.

What Precalculus 2e concept does Conic Sections: The Focus-Directrix Explorer teach?

Advanced topics including conic sections, sequences, and a foundational introduction to the concept of limits. It focuses on Conic Sections, Sequences and Series, Limits, Continuity from the “Analytic Geometry and Intro to Calculus” section.

What can I control in Conic Sections: The Focus-Directrix Explorer?

The sliders change the key inputs. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.

How does Conic Sections: The Focus-Directrix Explorer fit into the Precalculus 2e course?

OpenStax Precalculus 2e is a comprehensive, peer-reviewed Open Educational Resource (OER) designed to bridge the gap between algebra and calculus. The course provides a rigorous exploration of functions, trigonometry, a… This demo is the interactive piece for the “Analytic Geometry and Intro to Calculus” section. Open the full Precalculus 2e course wiki at https://www.getlykke.com/explore/public/precalculus-2e-197c9158-ecc9-47fe-9183-c80854bf2e26 for notes, flashcards, quizzes and the other demos.

What will I understand better after using Conic Sections: The Focus-Directrix Explorer?

You'll build intuition for Conic Sections, Sequences and Series, Limits, Continuity — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on Precalculus 2e alone.

From the Precalculus 2e course

This interactive demo is part of the Analytic Geometry and Intro to Calculus section. Explore the full Precalculus 2e course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.

Open the Precalculus 2e course →