Find the Vertex of the Graph of the Quadratic Function $f ( x ) = x ^ { 2 } + 4 x - 7$

question 25

Multiple Choice

Find the vertex of the graph of the quadratic function. Find any intercepts and graph the function.
- $f ( x ) = x ^ { 2 } + 4 x - 7$

• A) Vertex: \(( - 2,3 )\); \(\mathrm { x }\)-intercepts: none; \(y\)-intercept: \(( 0,7 )\)
• B) Vertex: \(( 4,0 )\); x-intercept: \(( 4,0 )\); \(y\)-intercept: \(( 0,7 )\)
• C) Vertex: \(( - 2 , - 11 )\); \(x\)-intercepts: \(( - 2 \pm \sqrt { 11 } , 0 )\); \(y\)-intercept: \(( 0 , - 7 )\)
• D) Vertex: \(\left( - \frac { 1 } { 2 } , - 12 \frac { 1 } { 4 } \right)\); x-intercepts: \(( - 4,0 )\) and (3,0); \(y\)-intercept: \(( 0 , - 12 )\)

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