Question

What is the effect on the graph of the function f(x) = |x| when f(x) is changed to f(x) − 7?

A) shifts right by 7 units

B) shifts left by 7 units

C) shifts up by 7 units

D) shifts down by 7 units

Answer 1

Using translation concepts, it is found that the effect on the graph of the function f(x) = |x| when f(x) is changed to f(x) − 7 is:

D) shifts down by 7 units

The original function is:

$f(x) = |x|$

After the change, the function is given by:

$g(x) = f(x) - 7 = |x| - 7$

That is, the function was subtracted by 7. When a function is subtracted, it is shifted down, hence, the correct option is:

D) shifts down by 7 units

To learn more about translation concepts, you can check https://brainly.com/question/25963231