Quadratic Vertex Calculator

Find the vertex of y = ax^2 + bx + c.

Parabola Turning Point

The vertex is the highest or lowest point of a quadratic graph.

Formula: h = -b / 2a, then k = ah^2 + bh + c.

Understanding Quadratic Vertex

1. What This Calculator Measures

The vertex is the turning point of a parabola written as y = ax^2 + bx + c.

2. How the Calculation Works

The calculator finds the axis of symmetry using -b / 2a, then substitutes that x-value back into the quadratic to find y.

3. Formula or Rule Used

vertex = (-b / 2a, f(-b / 2a)).

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