Answer
$a.\quad 3$
$b.\quad 1$
$c.\quad 2$
$d.\quad 4$
Work Step by Step
Graph 1 is obtained from f(x) by
raising it up by 3 units ... $f(x)+3$ ... case (b).
Graph 2 is obtained from f(x) by
reflecting about the y-axis and then
vertically stretching by factor 2 .... case (c)
Graph $3$ is obtained from f(x) by
shifting to the right .. case (a)
Graph $4$ is obtained from f(x) by
reflecting about the x-axis and then
compressing horizontally ... case (d)