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Lesson25_students_ - MA 15400 Lesson 25 Parabolas Section...

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Lesson 25 Section 11.1 Parabolas 1 The graphs above represent parabolas. A horizontal parabola will open left or right. A vertical parabola opens up or down. A parabola is the set of all points in a plane ( only 2 dimensions) equidistant from a fixed point F (the focus ) and a fixed line l (the directrix ) that lie in the plane. The axis of the parabola is the line through F that is perpendicular to the directrix. The vertex of the parabola is the point V on the axis halfway from F to l . The vertex is the point on the parabola that is closest to the directrix. The fixed point, the focus, will always be ‘inside’ the parabola and the fixed line, the directrix, will always be ‘outside’ of the parabola. Every point on the parabola, represented by B in the picture, the distance from B to the focus F is equal to the distance from B perpendicular to the line at point C. VERTEX A horizontal parabola has a horizontal axis. A vertical parabola
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Lesson25_students_ - MA 15400 Lesson 25 Parabolas Section...

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