Vertex Form Calculator
Convert quadratic equations between standard form (ax² + bx + c) and vertex form (a(x - h)² + k) with this easy-to-use calculator.
Understanding Vertex Form
What is Vertex Form?
The vertex form of a quadratic equation, y = a(x - h)² + k, is particularly useful because it directly reveals the vertex (h, k) of the parabola. This point represents either the maximum or minimum of the function, depending on whether a is negative or positive.
Key Features
• The value of a determines whether the parabola opens upward (a > 0) or downward (a < 0)
• The h value represents the x-coordinate of the vertex
• The k value represents the y-coordinate of the vertex
• The vertex (h, k) is the highest or lowest point of the parabola