if you apply the changes below to the absolute value parent function, f (x) = |x|, what is the equation of the new function. shift 5 united right. shift 7 units down

Answer: The required equation of the new function is f (x) = |x - 5 | - 7.

Step-by-step explanation: We are given to find the equation of the new function if the following absolute value parent function is shifted 5 units right and 7 units down:

f (x) = |x|.

We know that

if the absolute value parent function is shifted a units right and b units down, then the new function is given by

f (x) = |x - a| - b.

So, if the function f (x) is shifted 5 units right and 7 units down, then the equation of the new function will be

f (x) = |x - 5 | - 7.

Thus, the required equation of the new function is f (x) = |x - 5 | - 7.

X is x+5 with a shift to the right

Y = f (x) = y-7 with a shift down

So f (x) = |x-5|-7