Answer
See graph below
Work Step by Step
$y=|f(x)|$
In this case $y$ can not be negative
For all negative values of $f(x)$, mirror image about x-axis to be taken
and positive $f(x)$ will be plotted as it is.
$y=f(|x|)$
In this case argument of $f(x)$ is always positive,
So for $x \geq 0$, $y = f(x)$ to be plotted
for x<0, we take the mirror image of graph $y = f(x)$ for $x>0$ about y-axis