The graph of y = 5/(x + 6) is a vertical stretching of y = 1/x by a factor of 5 and a horizontal translation to the left by 6 units.
A function y = kf(x) is a vertical stretch of y = f(x), if:
[tex]k\gt1[/tex]
y = kf(x) is a vertical compression of y = f(x), if:
[tex]0\lt k\lt1[/tex]
A function f(x + k) is a horizontal translation to the left of f(x), if:
[tex]k\gt0[/tex]
f(x + k) is a horizontal translation to the right of f(x), if:
[tex]k\lt0[/tex]
