If the graph of the parent function f(x) = x is shifted 7 units down, which of the following equations would the new graphed line represent?

Answer:
Option (2)
Step-by-step explanation:
If a function g(x) is shifted 'a' units downwards then the equation of the transformed function will be,
g(x) = f(x) - a
Similarly, when the parent function is shifted 'a' units upwards, equation of the transformed function will be,
g(x) = f(x) + a
If the parent function is f(x) = x
And the graph of this function is shifted 7 units downwards,
Transformed function will be,
f'(x) = x - 7
Option (2) will be the correct option.