Provide an Appropriate Response $\begin{array}{c|c|c|c|c}\mathrm{x} & -3 & -2 & -1 & 0 \\\hline \mathrm{y} & -1 & -4 & -1 & 8\end{array}$

question 137

Multiple Choice

Provide an appropriate response.
-If the points in the table lie on a parabola, write the equation whose graph is the parabola. $\begin{array}{c|c|c|c|c}\mathrm{x} & -3 & -2 & -1 & 0 \\\hline \mathrm{y} & -1 & -4 & -1 & 8\end{array}$

• A) \(y = 3 x ^ { 2 } + 12 x + 8\)
• B) \(y = 3 x ^ { 2 } + 12 x - 8\)
• C) \(y = 3 ( x + 2 ) ^ { 2 } + 4\)
• D) \(y = 3 ( x - 2 ) ^ { 2 } + 4\)

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Definitions:

Air Pollution

The presence of harmful substances in the air, often resulting from human activities, leading to environmental and health issues.

Tennessee

A U.S. state located in the southeastern region, known for its music heritage, particularly in cities like Memphis and Nashville.

Government Intervention

The actions taken by a government to influence or regulate various activities within its economy.

Pigouvian Taxes

Taxes imposed on activities that generate negative externalities, aiming to correct market outcomes by aligning private costs with social costs.