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Parabola See also: Ellipse, Hyperbola, Conic Section and their Atos, and in the Category Surfaces see: Conic Sections and Dandelion Spheres The parametric equations for the Parabola are x(t) : t2
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How to fill out parabola:

01
Determine the vertex of the parabola. This can be done by finding the axis of symmetry. The equation of the axis of symmetry is given by x = -b/2a, where a and b are the coefficients of the quadratic equation.
02
Find the y-intercept of the parabola. This can be done by plugging in x = 0 into the equation of the parabola and solving for y.
03
Locate two more points on the parabola. You can choose any x-values and substitute them into the equation to find the corresponding y-values.
04
Plot the points on a coordinate plane and connect them with a smooth curve. Make sure to label the vertex and the points used to graph the parabola.

Who needs parabola see also ellipse?

01
Students studying conic sections in mathematics classes may need to learn about parabolas and ellipses. These are both types of curves formed when intersecting a cone with a plane.
02
Architects and engineers may use parabolas and ellipses in their designs. For example, parabolic reflectors are often used to focus light or sound waves, while ellipses can be seen in the shapes of some buildings or structures.
03
Astronomers also encounter parabolas and ellipses when studying celestial objects. The paths of comets and planets can often be described as elliptical orbits, and the trajectory of a projectile thrown with a specific initial speed and angle can follow a parabolic path.
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Parabola is a curve in which any point is at an equal distance from a fixed point (focus) and a fixed straight line (directrix), also known as a conic section. An ellipse is another type of conic section that is characterized by a set of points for which the sum of the distances to two fixed points (foci) is constant.
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