Answer
$a.$
Since $y=-f(x)+5$, we start with the graph of f(x) and
- reflect it about the $x$-axis ... to get $-f(x)$,
- and raise it up by $5$ units ... to get $-f(x)+5$.
$b.$
Since $y=3f(x)-5$, we start with the graph of f(x) and
- stretch it vertically by factor $3$... to get$ 3f(x)$
- and lower it by $5$ units ... to get $3f(x)-5.$
Work Step by Step
The exercise is to describe transformations,
so the answer is given in step-by-step form.
