Write the Quadratic Function $f ( x ) = \frac { 1 } { 4 } \left( x ^ { 2 } + 8 x - 20 \right)$

question 167

Multiple Choice

Write the quadratic function $f ( x ) = \frac { 1 } { 4 } \left( x ^ { 2 } + 8 x - 20 \right)$ in standard form.

• A) \(f ( x ) = \frac { 1 } { 4 } ( x + 4 ) ^ { 2 } - 9\)
• B) \(f ( x ) = \frac { 1 } { 4 } ( x - 9 ) ^ { 2 } + 4\)
• C) \(f ( x ) = \frac { 1 } { 4 } ( x - 4 ) ^ { 2 } + 9\)
• D) \(f ( x ) = - \frac { 1 } { 9 } ( x + 4 ) ^ { 2 } - 9\)
• E) \(f ( x ) = - \frac { 1 } { 9 } ( x - 4 ) ^ { 2 } - 9\)

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Definitions:

Expected Rate of Inflation

The expected pace at which the overall price level of goods and services will increase over time.

Federal Reserve

The central banking system of the United States, responsible for regulating the monetary policy to stabilize the economy.

Unemployment

The condition of being jobless despite actively seeking employment and being ready to work.

Inflation

The level of acceleration in the universal pricing for goods and services, diminishing the power of the dollar.