Express the Function in the Formss the Function in the Form

question 177

Multiple Choice

Express the function in the formss the function in the form f(x) $$f ( x ) = a ( x - h ) ^ { 2 } + k$$ k a nd indicate the vertex.
- $$f ( x ) = x ^ { 2 } + x - 6$$

• A) \(f ( x ) = ( x + 1 ) ^ { 2 } - 6\)
• vertex: \(( - 1 , - 6 )\)
• B) \(f ( x ) = ( x - 1 ) ^ { 2 } - 4\)
• vertex: \(( 1 , - 4 )\)
• C) \[\begin{array} { l }
• f ( x ) = \left( x + \frac { 1 } { 2 } \right) ^ { 2 } - \frac { 25 } { 4 } \\
• \text { vertex: } \left( - \frac { 1 } { 2 } , - \frac { 25 } { 4 } \right)
• \end{array}\]
• D) \[\begin{array} { l }
• \mathrm { f } ( \mathrm { x } ) = \left( \mathrm { x } - \frac { 1 } { 2 } \right) ^ { 2 } - \frac { 21 } { 4 } \\
• \text { vertex: } \left( \frac { 1 } { 2 } , - \frac { 21 } { 4 } \right)
• \end{array}\]

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