Respuesta :
If the transformed equation is g (x) = (1/x + 4) - 6, then the equation was shifted 4 units left, and translated 6 units down.
Answer:
There will be the transformation through which we compare these graph
Step-by-step explanation:
Given function : [tex]g(x)=\frac{1}{x+4}-6[/tex]
parent function of g(x) - [tex]f(x)=\frac{1}{x}[/tex]
The graph g(x) will be the transformation of f(x) by
when we add a unit in the function it shift in left direction
x = x+a
g(x)= f(x+a)
Therefore,
⇒ [tex]g(x)=\frac{1}{x+4}[/tex]
when we subtract b unit outside the function it shift in downward direction
f(x) = f(x)-b
g(x)= f(x) -b
Therefore,
⇒ [tex]g(x)=\frac{1}{x+4}-6[/tex]
We can refer the graph attached.
