Find Constants A,b,and C So That the Graph of the Function

question 2

Multiple Choice

Find constants a,b,and c so that the graph of the function $f ( x ) = c x ^ { 2 } + b x + c$ has a relative maximum at (7,34) and crosses the y-axis at (0,6) .

• A) \(a = \frac { 4 } { 7 }\) ,b = 8,c = 6
• B) \(a = - \frac { 4 } { 7 }\) ,b = -8,c = -6
• C) \(a = \frac { 4 } { 7 }\) ,b = -8,c = 6
• D) \(a = - \frac { 4 } { 7 }\) ,b = 8,c = 6

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