Answer:
A transformed function of f(x) is defined as,
g(x) = k f(x+a) + b,
Where k shows the stretch or compression ( When |k| > 1 or 0 < |k| < 1 ),
a shows the horizontal shifting, ( When a > 0 then it is shifted left when a < 0 then it is shifted right)
b shows the vertical shifting. ( b > 0 then it is shifted up b < 0 then it is shifted down)
Here, the parent function is,
[tex]f(x) = \frac{1}{x}[/tex]
And, transformed function is,
[tex]g(x) = \frac{2}{x+4}= 2f(x+4)[/tex]
Thus, by the above explanation,
g(x) is obtained after shifting of f(x) horizontally left by 4 unit and after stretched by 2 unit.
