Parabola Vertex Calculator

About this calculator

This calculator finds the vertex of a parabola given in the form y = ax² + bx + c, using the vertex formula x = -b/(2a), then substituting back to get the y-coordinate. The vertex is the parabola's turning point — its minimum if a > 0, or its maximum if a < 0.

Algebra and precalculus students use it to check homework on quadratic functions, and it comes up in real applications like finding the maximum height of a thrown object, the optimal price point in a revenue model, or the lowest point of a suspension cable's curve. Enter a, b, and c to get the vertex coordinates instantly.