Conic Sections: Locus Explorer

Conic Sections: Locus Explorer Ellipse Hyperbola Semi-major axis (a): 100 Focal distance (c): 60 d₁ + d₂ = 200 Curve (Locus) Foci (F₁, F₂) Distances (d₁, d₂) Move your mouse to explore how the distances to the foci remain constant. Conic Sections: Locus Explorer lets you explore this hands-on instead of only reading about it.

Study of the geometric and algebraic properties of ellipses and hyperbolas, including their standard equations and real-world applications. It focuses on Standard equations of ellipses, Standard equations of hyperbolas, Foci, vertices, and centers, Planetary motion applications from the “Conic Sections” section.

The “Semi-major axis (a): 100”, “Focal distance (c): 60” sliders change the key inputs; you can drag elements directly on the canvas; the “Ellipse”, “Hyperbola” buttons run actions or reset the demo. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.

The Client Challenge Precalculus course is a comprehensive curriculum designed to bridge the gap between high school algebra and college-level calculus. It covers ten core units ranging from composite functions and trig… This demo is the interactive piece for the “Conic Sections” section. Open the full Precalculus course wiki at https://www.getlykke.com/explore/public/precalculus-760426f2-c765-4f63-848e-73deae621c37 for notes, flashcards, quizzes and the other demos.

You'll build intuition for Standard equations of ellipses, Standard equations of hyperbolas, Foci, vertices, and centers, Planetary motion applications — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on Precalculus alone.