Find the Domain and Range of the Quadratic Function Whose $f ( x ) = - 7 x ^ { 2 }$

Multiple Choice

Find the domain and range of the quadratic function whose graph is described.
-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 8 at $x = 4$ .

A) $f ( x ) = - 7 ( x - 4 ) ^ { 2 } + 8$
B) $f ( x ) = - 7 ( x + 4 ) ^ { 2 } + 8$
C) $f ( x ) = 7 ( x - 4 ) ^ { 2 } + 8$
D) $f ( x ) = - 7 ( x - 4 ) ^ { 2 } - 8$