✓ Effortless Math · Free Tool

Parabola Calculator

From y = ax² + bx + c, get the vertex, focus, directrix, axis of symmetry, and vertex form — with a graph and step-by-step working.

y = ax2 + bx + c → vertex, focus, directrix
y = a x2 + b x + c

a can't be 0. The tool finds the vertex, focus, directrix, and axis of symmetry.

Results

Vertex
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Focus
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Directrix
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Axis of symmetry
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Opens
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Vertex form
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Graph

ParabolaVertexFocus & directrix

Step-by-step