Parabola Vertex Focus Calculator

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

A parabolae plural parabolas or parabola is a two-dimensional, mirror-symmetrical curve. It can be in any orientation in its plane and approximately U-shaped.

The parabola calculator to find the vertex, Focus, Directrix, Intercepts of a parabola you enter.

Parabola Focus Vertex Formulas

Vertex X = -b/2a

Directrix Y = c - (b2 + 1)/4a

Focus X = -b/2a

Focus Y = c - (b2 - 1)/4a

X Intercept = -b/2a ± √(b * b - 4ac)/2a,0

For example, To Parabola equation y = x2 + 2x + (-8)

Parabola Vertex :-1, -9

Parabola Focus : -1, -8.75

Parabola Directrix : -9.25

Parabola X Intercepts : 2, 0; -4, 0

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