Express the Function in the Formss the Function in the Form

question 214

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.
- $$f ( x ) = - x ^ { 2 } + 15 x + 5$$

• A) \[\begin{array} { l }
• f ( x ) = - \left( x - \frac { 15 } { 2 } \right) ^ { 2 } + \frac { 245 } { 4 } \\
• \text { vertex: } \left( \frac { 15 } { 2 } , \frac { 245 } { 4 } \right)
• \end{array}\]
• B) \(f ( x ) = - ( x - 15 ) ^ { 2 } + 5\)
• vertex: \(( 15,5 )\)
• C) \(f ( x ) = - ( x + 15 ) ^ { 2 } - 445\)
• vertex: \(( - 15 , - 445 )\)
• D) \[\begin{array} { l }
• f ( x ) = - \left( x + \frac { 15 } { 2 } \right) ^ { 2 } - \frac { 655 } { 4 } \\
• \text { vertex: } \left( - \frac { 15 } { 2 } , - \frac { 655 } { 4 } \right)
• \end{array}\]

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Definitions:

Autism

A developmental disorder that affects communication and behavior, characterized by difficulties in social interaction and communication and by restricted or repetitive patterns of thought and behavior.

Repetitive Movement Patterns

Involves the repeated execution of the same motor sequence, often observed in sports, dance, or therapeutic exercises.

Indifferent To Other People

Exhibiting a lack of interest or concern for others, often displaying emotional detachment or apathy.

Distressed

Experiencing anxiety, pain, or sorrow, often as a result of external pressures or situations.