If you apply the changes below to the absolute value parent function, f(x) = |x|, which of these is the equation of the new function? shift 5 units to the right. shift 4 units down.

The equation of the transformed function is:

Step-by-step explanation:

We are given a absolute value parent function f(x) by:

Now we have to apply some transformation to this parent function in order to get the transformed function.

The transformations that are applied are:

Shift 5 units to the right. Shift 4 units down.

We know that:

The shift of the parent function a units to the left or right is given by:

If a>0 then the shift is a units to the left

and if a<0 then the shift is a units to the right.

Also, the shift of k units to the left and right of some parent function f(x) is given by:

if k<0 then the shift is downward.

and if k>0 then the shift is upward.

So, here the equation of the transformed function is: