Find the Quadratic Polynomial $y = a x ^ { 2 } + b x + c$

question 132

Essay

Find the quadratic polynomial $y = a x ^ { 2 } + b x + c$ whose graph passes through the points $$( - 3,7 )$$ , $( - 2,1 )$ , and $( 1,7 )$ .

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Definitions:

Motorcycle Fatalities

The number of deaths resulting from motorcycle accidents.

Second-order Model

A model that accounts for the second level of dependencies or effects in a system, often extending beyond simple linear relationships to include more complex interactions.

Annual Fatalities

The total number of deaths occurring within a year, often used in the context of road traffic, workplace accidents, or diseases.

Interaction

In statistics, refers to the situation where the effect of one independent variable on a dependent variable differs depending on the level of another independent variable.