Express the Function in the Formss the Function in the Form

question 200

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.
- $$f ( x ) = x ^ { 2 } - 3 x - 1$$

• A) \(f ( x ) = ( x - 5 ) ^ { 2 } - 1\)
• vertex: \(( 5 , - 1 )\)
• B) \[\begin{array} { l }
• f ( x ) = \left( x + \frac { 3 } { 2 } \right) ^ { 2 } + \frac { 23 } { 4 } \\
• \text { vertex: } \left( - \frac { 3 } { 2 } , \frac { 23 } { 4 } \right)
• \end{array}\]
• C) \[\begin{array} { l }
• f ( x ) = \left( x - \frac { 3 } { 2 } \right) ^ { 2 } - \frac { 13 } { 4 } \\
• \text { vertex: } \left( \frac { 3 } { 2 } , - \frac { 13 } { 4 } \right)
• \end{array}\]
• D) \(f ( x ) = ( x + 3 ) ^ { 2 } + 17\)
• vertex: \(( - 3,17 )\)