Answer:
The function [tex]y = x[/tex] is shifted downwards by 8 units
Step-by-step explanation:
Given
[tex]y = x[/tex]
Required
Determine the transformation that gives: [tex]y = x-8[/tex]
When a function f(x) is shifted by b units, the new function g(x) is g(x) = f(x) - b
In this case:
[tex]y = x[/tex]
[tex]b = 8[/tex]
So, the new function is:
[tex]y = x - b[/tex]
Substitute 8 for b
[tex]y = x - 8[/tex]
Hence, the function is shifted 8 units downward
