Solve the Problem $f ( x ) = 5 x ^ { 2 }$

Multiple Choice

Solve the problem.
-Write an equation in standard form of the parabola that has the same shape as the graph of $f ( x ) = 5 x ^ { 2 }$ , but which has a minimum of 6 at $x = 2$ .

A) $f ( x ) = 5 ( x + 6 ) ^ { 2 } - 2$
B) $f ( x ) = 5 ( x + 2 ) ^ { 2 } + 6$
C) $f ( x ) = - 5 ( x - 2 ) ^ { 2 } + 6$
D) $f ( x ) = 5 ( x - 2 ) ^ { 2 } + 6$