Rewrite the Quadratic Function in Standard Form by Completing the Square

question 97

Multiple Choice

Rewrite the quadratic function in standard form by completing the square.
- $$f ( x ) = x ^ { 2 } + 5 x + 2$$

• A) \(f ( x ) = \left( x + \frac { 5 } { 2 } \right) ^ { 2 } - \frac { 17 } { 4 }\)
• B) \(f ( x ) = \left( x - \frac { 5 } { 2 } \right) ^ { 2 } + \frac { 17 } { 4 }\)
• C) \(f ( x ) = ( x - 5 ) ^ { 2 } + 23\)
• D) \(f ( x ) = ( x + 5 ) ^ { 2 } - 23\)

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