Answer
Graphing as instructed, we see that
the graph of (b) is obtained by
reflecting the graph of (a) about the x-axis..
Vertically stretching by factor 3 gives graph (c), and
shifting 5 units to the right produces graph (d).
Work Step by Step
Taking
(a) $y=f(x)=|x|,$ we find that
(b) $y=-f(x),$
(c) $y=3\cdot[-f(x)]=-3f(x)$
(d) $y=-3f(x-5)$
So,
the graph of (b) is obtained by
reflecting the graph of (a) about the x-axis..
Vertically stretching by factor 3 gives graph (c), and
shifting 5 units to the right produces graph (d).