Solve the Problem $f ( x ) = - 7 x ^ { 2 }$

Multiple Choice

Solve the problem.
-Write an equation in standard form of the parabola that has the same shape as the graph of $f ( x ) = - 7 x ^ { 2 }$ , but which has a maximum of 9 at $x = 2$ .

A) $f ( x ) = - 7 ( x - 2 ) ^ { 2 } + 9$
B) $f ( x ) = - 7 ( x + 2 ) ^ { 2 } + 9$
C) $f ( x ) = 7 ( x - 2 ) ^ { 2 } + 9$
D) $f ( x ) = - 7 ( x - 2 ) ^ { 2 } - 9$