Provide an Appropriate Response $y = a x ^ { 2 } + b x + c$

question 308

Multiple Choice

Provide an appropriate response.
-The curve $y = a x ^ { 2 } + b x + c$ passes through the point $( 2,12 )$ and is tangent to the line $y = 4 x$ at the origin. Find a, $b$ , and $c$ .

• A) a = 2, b = 0, c = 0
• B) a = 0, b = 1, c = 4
• C) a = 1, b = 4, c = 0
• D) a = 4, b = 0, c = 1

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Definitions:

Private-sector Provision

Services or goods provided by businesses owned by individuals or shareholders, rather than by the government.

Public-sector Provision

Involves services and goods provided by the government or public entities to ensure welfare and infrastructure availability to the public.

Rent-seeking

The practice of gaining wealth without creating new wealth, typically through manipulating the social or political environment in which economic activities occur.

Short-sightedness Effect

The tendency of decision makers to prioritize immediate benefits at the expense of long-term gains.