The function f(x) is shown on the provided graph. graph the result of the following transformation on f(x).

Observe the attached image

Step-by-step explanation:

We have the graph of a line that passes through the points (0,5) and (2, 1).

The equation of the line that passes through these points is found in the following way:

Where

m = slope

So

We must apply to this function the transformation.

We know that a transformation of the form

shifts the graph of the function f(x) h units to the right if , or shifts the function f(x) h units towards the left if .

In this case then the transformation displaces the graph 4 units to the right.

Therefore if f(x) passes through the points (0,5) and (2,1) then passes through the points (4, 5) (6, 1)

And its equation is:

Observe the attached image