Determine the Vertex of the Graph of the Quadratic Function $f ( x ) = x ^ { 2 } + 5 x + \frac { 29 } { 4 }$

question 52

Multiple Choice

Determine the vertex of the graph of the quadratic function $f ( x ) = x ^ { 2 } + 5 x + \frac { 29 } { 4 }$ .

• A) \(\left( \frac { - 5 } { 2 } , \frac { 27 } { 2 } \right)\)
• B) \(\left( 5 , \frac { 29 } { 4 } \right)\)
• C) \(\left( \frac { 5 } { 2 } , \frac { 29 } { 4 } \right)\)
• D) \(\left( \frac { 5 } { 4 } , \frac { 21 } { 4 } \right)\)
• E) \(\left( \frac { - 5 } { 2 } , 1 \right)\)

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