A visual, interactive tool to explore quadratic equations and the quadratic formula.
- Interactive Visualization: Drag sliders to change coefficients
a,b, andcand watch the parabola reshape in real-time. - Step-by-Step Math: See exactly how the simplified numbers flow into the Quadratic Formula.
- Key Points: Automatically highlights the Vertex, Y-Intercept, and Roots (x-intercepts) on the graph.
- ** discriminant Analysis**: Visually demonstrates when a quadratic has two real roots, one double root, or complex (no real) roots.
- Responsive Design: Works well on different screen sizes.
- Open the application in your browser.
- Use the sliders in the control panel to adjust the values:
- a: Controls the direction and "width" of the parabola.
- b: Shifts the curve horizontally.
- c: Adjusts the vertical position (y-intercept).
- Observe the graph and the calculation panel below to understand the relationship between the graph and the formula.
You can run this project directly from your browser without any installation.
- Clone the repository:
git clone https://github.com/neomantra/quadratic_explorers.git cd quadratic_explorers - Open
index.htmlin your favorite web browser.
This project is designed to be easily hosted on GitHub Pages.
- Push the code to a GitHub repository.
- Go to Settings > Pages.
- Select the
mainbranch as the source. - Your site will be live at
https://<your-username>.github.io/<repo-name>/.
This tool is designed for Algebra students learning about:
- Standard form of quadratic equations:
$y = ax^2 + bx + c$ - The effect of coefficients various coefficients.
- The Quadratic Formula:
$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ - The role of the Discriminant (
$\Delta = b^2 - 4ac$ ).
A Teacher's Guide is included (teachers_guide.html) with suggested lesson plans and exploration questions.
This project is open source and available for educational use.