Solve the Problem $f ( x ) = 5 x ^ { 2 }$

question 28

Multiple Choice

Solve the problem.
-Write an equation in standard form of the parabola that has the same shape as the graph of $f ( x ) = 5 x ^ { 2 }$ , but which has a minimum of 9 at $x = 5$ .

• A) \(f ( x ) = 5 ( x - 5 ) ^ { 2 } + 9\)
• B) \(f ( x ) = 5 ( x + 5 ) ^ { 2 } + 9\)
• C) \(f ( x ) = - 5 ( x - 5 ) ^ { 2 } + 9\)
• D) \(f ( x ) = 5 ( x + 9 ) ^ { 2 } - 5\)

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Definitions:

Demand for Money

The desire or need by individuals and businesses to hold liquid assets, primarily currency and demand deposits, for transactional, precautionary, and speculative purposes.

Nominal GDP

Nominal Gross Domestic Product refers to the market value of all final goods and services produced within a country in a given period, measured in current market prices.

Expansionary Monetary Policy

A monetary policy strategy used by central banks to increase the money supply to stimulate economic growth, typically by lowering interest rates.

Aggregate Expenditure

The total spending on final goods and services in an economy over a specific time period, including consumption, investment, government purchases, and net exports.