Parabola Calculator
Calculate parabola properties and graph the equation in different forms.
Select Parabola Form
Parabola Properties
Vertex: (0, 0)
Focus: (0, 0)
Directrix: y = 0
Axis of Symmetry: x = 0
Direction: Upward
Graph
How it works
The parabola can be represented in different forms:
- Standard Form: y = ax² + bx + c
- Vertex Form: y = a(x-h)² + k
- Focus Form: (x-h)² = 4p(y-k)
Where:
- a determines the parabola's width and direction
- (h,k) is the vertex
- p is the distance from vertex to focus