Completing the Square Calculator
Easily convert a quadratic equation to its completed square form with our interactive calculator. Enter a, b, and c to find the vertex form a(x-h)^2 + k. Visualize the quadratic graph and copy results.
Completed Square Form:
Quadratic Function Visualization
Understanding Completing the Square
Completing the square is a technique used to rewrite a quadratic expression in vertex form, which is a(x-h)2 + k. This form reveals the vertex of the parabola at point (h, k), making it easier to analyze and graph quadratic functions.
This method is valuable for solving quadratic equations, understanding the properties of parabolas, and in calculus. By transforming a quadratic to vertex form, we gain direct insight into the parabola's vertex and axis of symmetry.
For example, consider x2 + 6x + 5. Completing the square gives (x+3)2 - 4, revealing the vertex at (-3, -4).