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

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:

[tex]f(0-7)=f(-7)=(-7)[/tex]

Also, I attached you the graph.

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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

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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