Interactive Demo
Quadratic Optimization Explorer
Quadratic Optimization Explorer is a free, interactive learning demo from the Precalculus 2e course on Lykke. It helps you build intuition for Quadratic Functions, Zeros of Polynomials, Rational Functions, Asymptotes. Play with it directly in your browser — it features 4 sliders and a live visual canvas. This demo lives in the “Polynomial and Rational Functions” section of the course.
How to use this demo
- Drag the “Stretch / Direction (a) 1.0”, “Horizontal Shift (h) 0.0”, “Vertical Shift (k) 0.0” sliders to change the inputs and watch the result update live.
- Experiment freely — there's nothing to break, and every change is reversible.
What you'll explore
- Quadratic Functions
- Zeros of Polynomials
- Rational Functions
- Asymptotes
Frequently asked questions
What does the Quadratic Optimization Explorer demo do?
Since a > 0, this point is a global minimum. Quadratic Optimization Explorer lets you explore this hands-on instead of only reading about it.
What Precalculus 2e concept does Quadratic Optimization Explorer teach?
Exploration of higher-degree functions, including quadratics, power functions, and the behavior of rational expressions and their asymptotes. It focuses on Quadratic Functions, Zeros of Polynomials, Rational Functions, Asymptotes from the “Polynomial and Rational Functions” section.
What can I control in Quadratic Optimization Explorer?
The “Stretch / Direction (a) 1.0”, “Horizontal Shift (h) 0.0”, “Vertical Shift (k) 0.0” 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 Quadratic Optimization 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 “Polynomial and Rational Functions” 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 Quadratic Optimization Explorer?
You'll build intuition for Quadratic Functions, Zeros of Polynomials, Rational Functions, Asymptotes — 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 Polynomial and Rational Functions section. Explore the full Precalculus 2e course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.
Open the Precalculus 2e course →