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Parabola y² = 4ax formulas
8 formulas for Parabola y² = 4ax, from the Coordinate Geometry section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Focus / directrix | focus (a, 0); directrix x = −a | |
| Latus rectum | length 4a | |
| Parametric | (at², 2at) | |
| Tangent at (x₁, y₁) | yy₁ = 2a(x + x₁) 🧮 Solve step by step | |
| Tangent (slope form) | y = mx + a/m 🧮 Solve step by step | |
| Normal (slope form) | y = mx − 2am − am³ 🧮 Solve step by step | |
| Focal distance | x + a | |
| Other orientations | x² = 4ay (opens up), y² = −4ax (left), x² = −4ay (down) |
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