Given the Graph Of $f$ , Describe How the Graph Of $y = - f ( 2 x ) + 2$

Multiple Choice

Given the graph of $f$ , describe how the graph of $y = - f ( 2 x ) + 2$ can be obtained from the graph of $f$

A) Stretch horizontally by a factor of $2$ , then reflecting about the
$y$ - axis, then shifting
$2$ units up
B) Shrink vertically by a factor of $2$ , then reflecting about the
$x$ - axis, then shifting
$2$ units up.
C) Stretch horizontally by a factor of $2$ , then reflecting about the
$y$ - axis, then shifting
$2$ units up .
D) Shrink vertically by a factor of $\frac { 1 } { 2 }$ , then reflecting about the
$x$ - axis, then shifting downward
$2$ units.
E) Shrink horizontally by a factor of $\frac { 1 } { 2 }$ , then reflecting about the
$x$ - axis, then shifting
$2$ units up