Find the Equation of the Parabola $y = a x ^ { 2 } + b x + c$

question 50

Multiple Choice

Find the equation of the parabola $y = a x ^ { 2 } + b x + c$ that passes through the points. ?? $( 0,5 ) , ( 1,6 ) , ( 2,5 )$ ?

• A)? \(x ^ { 2 } + 2 x + 5\)
• B)? \(- x ^ { 2 } - 2 x - 5\)
• C)? \(- x ^ { 2 } - 2 x + 5\)
• D)? \(- x ^ { 2 } + 2 x + 5\)
• E)? \(- x ^ { 2 } + 2 x - 5\)

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Definitions:

Payoff Table

A matrix that outlines the various outcomes of strategies or decisions given differing conditions or states.

States of Nature

Various possible scenarios or outcomes in a decision-making problem that are not controlled by the decision maker.

Gross Profits

The profit a company makes after deducting the costs associated with making and selling its products, or the costs associated with providing its services.

Payoff Table

A tabular representation of the possible payoffs or outcomes resulting from different decisions or strategies under various states of nature.