Answer
(a) graph 3
(b) graph 1
(c) graph 2
(d) graph 4
Work Step by Step
(a) $y=f(x-4)$ is $f(x)$ shifted right 4 units, so this matches graph 3.
(b) $y=f(x)+3$ is $f(x)$ shifted up 3 units, so this matches graph 1.
(c) $y=2f(x+6)$ is $f(x)$ vertically stretched by 2 and moved left by 6 units, so this matches graph 2.
(d) $y=-f(2x)$ is $f(x)$ reflected around the $x$-axis and shrunk horizontally by a factor of 2, so this matches graph 4.
