Stage 30 · Analytic Geometry

30.7.2 The Standard Equation of a Parabola

30.7 The Parabola and a Unified View of Conic Sections

Point 2 of 6

30.7.2 The Standard Equation of a Parabola

Core idea

Put the vertex at the origin opening to the right and it reads y²=2px, with a bigger p opening it wider.

Module goal. Introduce the parabola and, through equal point-line distance and eccentricity, thread all three curves into one system, wrapping up the coordinate method.
eastmath.com · 30.7 The Parabola and a Unified View of Conic Sections · 30.7.2 The Standard Equation of a Parabola