Comets Have Elliptical Orbits, but the Orbits of Some Comets $y = a x ^ { 2 } + b x + c$

question 189

Essay

Comets have elliptical orbits, but the orbits of some comets are so vast that they are indistinguishable from parabolas. Find an equation of the form $y = a x ^ { 2 } + b x + c$ for the parabola that closely describes the orbit of the comet shown in the illustration.

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Definitions:

Machining Symbol

A type of symbol used on engineering drawings to indicate the type of machining operation required, surface texture, or surface roughness on a part.

Leader

In drafting and design, a line that connects a note or symbol to a specific location, typically used for annotations.

Finished Surface

A surface that has undergone a final manufacturing process to meet specified criteria of texture, smoothness, or coating.

Symbol

A symbol is a graphical representation or sign that stands for an object, concept, or operation in various fields such as mathematics, physics, and engineering.