Determine Whether the Given Quadratic Function Has a Minimum Value $$f ( x ) = - 3 x ^ { 2 } + 9 x$$

question 296

Multiple Choice

Determine whether the given quadratic function has a minimum value or maximum value. Then find the
coordinates of the minimum or maximum point.
- $$f ( x ) = - 3 x ^ { 2 } + 9 x$$

• A) maximum; \(\left( \frac { 3 } { 2 } , \frac { 27 } { 4 } \right)\)
• B) minimum; \(\left( \frac { 3 } { 2 } , \frac { 27 } { 4 } \right)\)
• C) minimum; \(\left( - \frac { 3 } { 2 } , - \frac { 27 } { 4 } \right)\)
• D) maximum; \(\left( - \frac { 3 } { 2 } , - \frac { 27 } { 4 } \right)\)

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