Standard Equation of a Parabola (Vertex at Origin, Focus on Positive x - axis)
Formula: y² = 2px (p > 0) Conditions: Vertex at origin, axis of symmetry is the x - axis, focus at (p/2, 0), directrix x = - p/2. Explanation: p is the focal p…
Syllabus path: Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Parabolas
CSCA Exam Prep
This formula is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.
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CSCA Mathematics Formula Reference
Formula and explanation
Formula: y² = 2px (p > 0) Conditions: Vertex at origin, axis of symmetry is the x - axis, focus at (p/2, 0), directrix x = - p/2. Explanation: p is the focal parameter, representing the distance from the focus to the directrix.
Related tutorial and examples
Equations and Properties of Parabolas
Equations and Properties of Parabolas The parabola is the only conic section with an "eccentricity e = 1 ". The key to this topic is applying the geometric definition. In the CSCA exam, mastering the four standard equations and using the "Definition Method" are crucial. 1. Defini…
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