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

question 183

Multiple Choice

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.

• A) \(y = - \frac { 1 } { 2 } x ^ { 2 } - x - \frac { 9 } { 2 }\)
• B) \(y = \frac { 1 } { 2 } x ^ { 2 } - x - \frac { 9 } { 2 }\)
• C) \(y = - \frac { 1 } { 2 } x ^ { 2 } - x + \frac { 9 } { 2 }\)
• D) \(y = \frac { 1 } { 2 } x ^ { 2 } + x - \frac { 9 } { 2 }\)
• E) \(y = \frac { 1 } { 2 } x ^ { 2 } + x + \frac { 9 } { 2 }\)

Identify the structure and impact of the federal tax system on different income groups.

Understand the changes in the distribution of personal income tax responsibilities across income groups over time.

Identify the main sources of federal government revenue and their relative significance.

Recognize the economic implications of the size and structure of government on economic growth.