Find Constants A, B, and C So That the Graph $f ( x ) = a x ^ { 2 } + b x + c$

Multiple Choice

Find constants a, b, and c so that the graph of the function $f ( x ) = a x ^ { 2 } + b x + c$ has a relative maximum at (5, 25) and crosses the y-axis at (0, 5) .

A) $a = - \frac { 4 } { 5 }$ , b = -8, c = -5
B) $a = - \frac { 4 } { 5 }$ , b = 8, c = 5
C) $a = \frac { 4 } { 5 }$ , b = 8, c = 5
D) $a = \frac { 4 } { 5 }$ , b = -8, c = 5