Parabola Calculator
( Parabola Grapher Online )

Y = X2 +  X + 
Parabola Vertex :
Parabola Focus :
Parabola Directrix :
Parabola X Intercepts :




Parabola Vertex Focus Calculator Formulas
(Y = aX2 + bX + c, a≠0)


• Focus X = -b/2a
• Focus Y = c - (b2 - 1)/4a
• Vertex X = -b/2a
• Directrix Y = c - (b2 + 1)/4a
• X Intercept = -b/2a ± √(b * b - 4ac)/2a,0


Parabola equation and graph with major axis parallel to y axis. If a>0, parabola is upward, a<0, parabola is downward. If the major axis is parallel to the x axis, interchange x and y during your calculation.

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Segment of a Parabola Calculator


Diameter (b):
Height (h):
Area :
Arc Length :



Segment of a Parabola Formulas
• Area = 2 * h * b;
• Arc Length = sqrt(b2 + 16 * h2)/2 + b2 * ln((4 * h + sqrt(b2 + 16 * h2))/b)/(8*h)

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