Answer
please see image
.
Work Step by Step
1. Parent function $y =f(x)=\cos x$
( Create a table with a selection of values for x,
arriving at ordered pairs (x,f(x)).
Plot them and connect with a smooth curve)
2. $y=-f(2x)$
Shrink horizontally by a factor of 2,
and reflect about the x-axis.
Use the table (x,f(x)) to plot the points
$(x, \displaystyle \ \ -\frac{1}{2}f(x)))$
and join with a smooth curve)