If you shift the linear parent function, f(x)=x, down 7 units what is the equation of the new function

To solve this problem you must apply the proccedure shown below:

 1- You have that following parent function (the most basic function of the linear functions) given in the problem above:

 f(x)=x

 2- When you graph this parent function, you obtain the graph shown in the figure attached.

 3- If you shift the linear parent function 7 units down, you have the following new function:

 f(x)=x-7

 4- The graph of the new function is shown in the second figure attached.

 The answer is: f(x)=x-7