Find the Vertex of the Graph of the Quadratic Function $f ( x ) = \frac { 1 } { 2 } x ^ { 2 } + 4 x + \frac { 15 } { 2 }$

question 53

Multiple Choice

Find the vertex of the graph of the quadratic function. Find any intercepts and graph the function.
- $f ( x ) = \frac { 1 } { 2 } x ^ { 2 } + 4 x + \frac { 15 } { 2 }$

• A) Vertex: \(\left( - 4 , - \frac { 1 } { 2 } \right)\) \(x\)-intercepts: \(( - 5,0 )\) and \(( - 3,0 )\); \(y\)-intercept: \(\left( 0 , \frac { 15 } { 2 } \right)\)
• B) Vertex: \(\left( 4 , \frac { 1 } { 2 } \right)\); \(x\)-intercepts: \(( 5,0 )\) and \(( 3,0 )\); \(y\)-intercept: \(\left( 0 , - \frac { 15 } { 2 } \right)\)
• C) Vertex: \(\left( 4 , - \frac { 1 } { 2 } \right)\) \(x\)-intercepts: \(( 5,0 )\) and \(( 3,0 )\); \(y\)-intercept \(\left( 0 , \frac { 15 } { 2 } \right)\)
• D) Vertex: \(\left( - 4 , \frac { 1 } { 2 } \right)\) \(x\)-intercepts: \(( - 5,0 )\) and \(( - 3,0 )\); \(y \text {-intercept: }\left(0,-\frac{15}{2}\right)\)

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