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princiebebe57
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How do you find the value of the distance between the focus and vertix for the parabola given by the equation 6x^2 + 8 = 2y.
A parabola is a symmetrical curve formed by the intersection of a plane and a right circular cone when the plane is parallel to one of the cone's sides.
The focus of a parabola can be found by taking the point equidistant from the directrix (a line that is parallel to the axis of symmetry and is outside the parabola) and the vertex (the highest or lowest point of the parabola).
The focus and the vertex of a parabola are equidistant from the directrix and are located on the axis of symmetry of the parabola. The distance between the focus and the vertex is called the focal length.
The distance between the focus and vertex of a parabola can be calculated using the formula d = 2p, where p is the distance between the vertex and the directrix.
Finding the distance between the focus and vertex of a parabola is important in understanding the shape and properties of the parabola. It can also be used in real-world applications, such as in optics and satellite dish design.