Identify the Vertex, Axis of Symmetry, and Intercepts for the Graph

question 81

Multiple Choice

Identify the vertex, axis of symmetry, and intercepts for the graph of the function.
- $$y = x ^ { 2 } + 8 x + 14$$

• A) Vertex at \(( - 4 , - 2 )\); axis: \(y = - 2 ; x\)-intercepts: none; \(y\)-intercept: \(( - 4 - \sqrt { 2 } , 0 )\)
• B) Vertex at \(( - 4 , - 2 )\); axis: \(x = - 4 ; x\)-intercepts: \(( - 4 - \sqrt { 2 } , 0 )\) and \(( - 4 + \sqrt { 2 } , 0 ) ; y\)-intercept: \(( 0,14 )\)
• C) Vertex at \(( 4,62 )\); axis: \(x = 4 ; x\)-intercepts: none; \(y\)-intercept: \(( - 4 + \sqrt { 2 } , 0 )\)
• D) Vertex at \(( 4,62 )\); axis: \(y = 62 ; x\)-intercepts: \(( - 4 - \sqrt { 2 } , 0 )\) and \(( - 4 + \sqrt { 2 } , 0 ) ; y\)-intercept: \(( 0,14 )\)

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