A Function F Is Given, and the Indicated Transformations Are $f ( x ) = \sqrt { x }$

Multiple Choice

A function f is given, and the indicated transformations are applied to its graph (in the given order) . Find the equation for the final transformed graph. $f ( x ) = \sqrt { x }$ ; shift 5 units to the left, stretch vertically by a factor of 2 , and reflect in the $x$ -axis.

A) $f ( x ) = - 2 \sqrt { x } + 5$
B) $f ( x ) = - \frac { 1 } { 2 } \sqrt { x } - 5$
C) $f ( x ) = - 5 \sqrt { x - 2 }$
D) $f ( x ) = - \sqrt { 5 x - 2 }$
E) $f ( x ) = - 2 \sqrt { x + 5 }$