Write the Standard Form of the Equation of the Parabola $( 3,8 )$

Multiple Choice

Write the standard form of the equation of the parabola that has a vertex at $( 3,8 )$ and passes through the point $( 5 , - 2 )$ .

A) $f ( x ) = - \frac { 1 } { 2 } ( x - 3 ) ^ { 2 } + 5$
B) $f ( x ) = - \frac { 5 } { 2 } ( x - 3 ) ^ { 2 } + 8$
C) $f ( x ) = - \frac { 10 } { 9 } ( x + 3 ) ^ { 2 } + 8$
D) $f ( x ) = \frac { 8 } { 5 } ( x - 8 ) ^ { 2 } - 2$
E) $f ( x ) = \frac { 8 } { 9 } ( x - 8 ) ^ { 2 } - 5$