Algèbre
Completing the Square Calculator | Vertex Form
Easily convert quadratic equations to vertex form by completing the square. Visualize parabolas and understand the process step-by-step with our interactive calculator.
Vertex Form:
Parabola Visualization
What is Completing the Square?
Completing the square is a technique used in algebra to convert a quadratic expression in the form ax² + bx + c into the vertex form a(x-h)² + k. This form reveals the vertex of the parabola at point (h, k), making it easier to graph and analyze quadratic functions. The process involves manipulating the quadratic equation to create a perfect square trinomial. This calculator simplifies this process, providing you with the vertex form and a visual representation of the parabola.
- Vertex Form: a(x-h)² + k, where (h, k) is the vertex of the parabola.
- Formula for h: h = -b / 2a
- Formula for k: k = c - a*h² or k = c - (b² / 4a)
- Use this tool to quickly find the vertex form and understand the graph of your quadratic equation.