Question

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 1

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.