Question

What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x - 7)?

A) Shifts the line 7 units up
B) Shifts the line 7 units down
C) Increases the slope of the line by a factor of 7
D) Decreases the slope of the line by a factor of 7

Answer 1

Shifts the line 7 units down

Answer 2

B) Shifts the line 7 units down

Explanation:

Translations are transformations that change the position of the graph of a function. The general form of the graph of a function is translated up, down, to the right, or to the left. The translations are considered rigid transformations.

You can check the answer simply by evaluating the function at x=0:

`f(0-7)=f(-7)=(-7)`

Also, I attached you the graph.