Question

How does the graph g(x)=1/x+4-6 compare to the graph of the parent function f(x)=1/x

Answer 1

Answer:

There will be the transformation through which we compare these graph

Step-by-step explanation:

Given function :  $g(x)=\frac{1}{x+4}-6$

parent function of g(x) - $f(x)=\frac{1}{x}$

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,

⇒  $g(x)=\frac{1}{x+4}$

when we subtract b unit outside the function it shift in downward direction

f(x) = f(x)-b

g(x)= f(x) -b

Therefore,

⇒  $g(x)=\frac{1}{x+4}-6$

We can refer the graph attached.

                             

Answer 2

If the transformed equation is g (x) = (1/x + 4) - 6, then the equation was shifted 4 units left, and translated 6 units down.