Find the Vertex of the Graph of the Quadratic Function $f ( x ) = x ^ { 2 } + 3 x + 2$

question 59

Multiple Choice

Find the vertex of the graph of the quadratic function. Find any intercepts and graph the function.
- $f ( x ) = x ^ { 2 } + 3 x + 2$

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

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