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

question 90

Multiple Choice

Find an equation of the form $y = a x ^ { 2 } + b x + c$ whose graph passes through the points $( 1,7 ) ,$ $( - 4 , - 18 ) ,$ and $( - 1,3 ) .$

• A) \(y = - x ^ { 2 } + 2 x + 6\)
• B) \(y = - x ^ { 2 } + 6 x + 2\)
• C) \(y = 2 x ^ { 2 } - x + 6\)
• D) \(y = 6 x ^ { 2 } - x + 2\)
• E) \(y = 6 x ^ { 2 } + 2 x - 1\)

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Definitions:

Stockholders' Equity

The residual interest in the assets of a corporation after deducting its liabilities, representing the ownership interest of the shareholders.

Sales

The total amount of goods or services sold by a company within a specific period, generating revenue.

Traceable Fixed Expenses

Fixed costs that can be directly linked to a specific business segment, department, or product and would disappear if the segment was eliminated.

Variable Expenses

Costs that change in proportion to business activity or production volume, such as materials costs, direct labor, and utilities for machinery.