Vertex Form Equation of a Parabola (Vertex at (h, k), Axis Parallel to y - axis)
Equation: (x - h)² = 2p(y - k) or (x - h)² = - 2p(y - k). Conditions: Vertex at (h, k), axis of symmetry parallel to the y - axis (opens upward or downward). E…
Syllabus path: Geometry and Algebra › Plane Analytic Geometry › Equations and Properties of Parabolas
CSCA Exam Prep
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CSCA Mathematics Formula Reference
Formula and explanation
Equation: (x - h)² = 2p(y - k) or (x - h)² = - 2p(y - k). Conditions: Vertex at (h, k), axis of symmetry parallel to the y - axis (opens upward or downward). Explanation: The sign of parameter p determines the opening direction. Focus and directrix coordinates are translated accordingly.
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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