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

question 162

Multiple Choice

Identify the vertex, axis of symmetry, and intercepts for the graph of the function.
- $$g ( x ) = - x ^ { 2 } + 6 x - 11$$

• A) Vertex at \(( - 3 , - 38 )\); axis: \(x = - 3 ; x\)-intercepts: \(( 3 - \sqrt { 2 } , 0 )\) and \(( 3 + \sqrt { 2 } , 0 ) ; y\)-intercept: \(( 0 , - 11 )\)
• B) Vertex at \(( - 3 , - 38 )\); axis: \(y = - 38 ; x\)-intercepts: none; \(y\)-intercept: \(( 0,11 )\)
• C) Vertex at \(( 3 , - 2 )\); axis: \(y = - 2 ; x\)-intercepts: \(( 3 - \sqrt { 2 } , 0 )\) and \(( 3 + \sqrt { 2 } , 0 ) ; y\)-intercept: \(( 0,11 )\)
• D) Vertex at \(( 3 , - 2 )\); axis: \(x = 3 ; x\)-intercepts: none; \(y\)-intercept: \(( 0 , - 11 )\)

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