Answer:
f(x) = |x| - 7
Step-by-step explanation:
The given equation is g(x) = |x|......... (1)
The vertical translation by 7 units down will not change the value of x, the only change will be in the value of g(x).
The vertical translation by 7 units down will change the value of g(x) by [g(x) + 7] in the left-hand side of the equation (1).
Therefore, the equation will become g(x) + 7 = |x|
⇒ g(x) = |x| - 7.
Otherwise we can represent the function as some other name say f(x).
So, f(x) = |x| - 7. (Answer)
