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How is the path of a diver represented by a parabola?
Figure 2: Conic section showing a parabola. The path of a cliff diver can be described by a quadratic equation similar to y = –x 2 + 2x + 27. The trajectory of the diver is represented by a parabola, with y equal to the height above the water and x equal to the distance from the cliff.
How are parabolas used in the real world?
A parabola is a graph of a quadratic equation. It is a U-shaped curve with an axis of symmetry. Many different objects in the real world follow the shape of a parabola, such as the path of a ball when it is thrown, the shape of the cables on a suspension bridge, and the trajectory of a comet around the sun.
What are two parabolas side by side called?
McDonald’s “Golden Arches” are two parabolas side by side. A parabola is defined geometrically by a point that is not part of its curve (called the focus) and a line that is not part of its curve (called the directrix). Every point of the parabola is the same distance (called equidistant) from the focus and the directrix.
When is a slice of a cone a parabola?
A parabola is one of the conic sections that is formed when a plane intersects with a cone as an open curve. If a cone is sliced so that the slice is parallel to the side of the cone, the slice is a parabola.
Last Update: Oct 2021
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