## College Algebra 7th Edition

(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.