Question

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 1

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

Answer 2

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.