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What is the equation of a parabola according to its definition? The parabola is defined as the set of points P(x, y) such that its distance to poi...

What is the equation of a parabola according to its definition?

The parabola is defined as the set of points P(x, y) such that its distance to point F is equal to its distance to line l.
The focus of the parabola is denoted by F and the line l is denoted by directrix.
The elements of the parabola are: focus F, directrix line l, axis of the parabola, vertex V, and the chord passing through the focus and perpendicular to the axis of the parabola.
The equation of the parabola is y^2 = 4px, where p is the distance from the vertex to the focus.

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Calculo diferencial Universidad-26
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Cálculo II Universidad de Buenos AiresUniversidad de Buenos Aires

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A equação de uma parábola, de acordo com sua definição, é y^2 = 4px, onde p é a distância do vértice ao foco.

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