Solve the Problem $y = a x ^ { 2 } + b x + c$

question 324

Multiple Choice

Solve the problem.
-Find the equation of the parabola $y = a x ^ { 2 } + b x + c$ that passes through the points $( - 2,0 ) , ( 0 , - 4 )$ , and $( 3,3 )$ .

• A) \(y = - \frac { 7 } { 15 } x ^ { 2 } - \frac { 4 } { 15 } x - 7\)
• B) \(y = \frac { 1 } { 5 } x ^ { 2 } - \frac { 8 } { 15 } x - \frac { 4 } { 3 }\)
• C) \(y = \frac { 13 } { 15 } x ^ { 2 } - \frac { 4 } { 15 } x - 4\)
• D) \(y = - \frac { 4 } { 15 } x ^ { 2 } + \frac { 13 } { 15 } x - 4\)

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Definitions:

Homeostasis

The ability of an organism or environment to maintain stability in spite of changes.

Allostasis

The process by which the body achieves stability through physiological or behavioral change in response to external or internal changes.

Drug Abuse

The harmful or hazardous use of psychoactive substances, including alcohol and illicit drugs.

Drug Addiction

A chronic disorder characterized by the compulsive use of drugs or substances, leading to severe psychological and physical dependence.