Answer
$a.$
Since $y=f(x+3)+2$, we start with the graph of f(x) and
- shift it to the left by 3 units ... to get $f(x+3)$,
- and then raise it up by $2$ units ... to get $f(x+3)+2$.
$b.$
Since $y=f(x-7)-3$, we start with the graph of f(x) and
- shift it to the right by $7$ units ... to get $f(x-7)$,
- and then lower it by 3 units ... to get $f(x-7)-3.$
Work Step by Step
The exercise is to describe transformations,
so the answer is given in step-by-step form.