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 left

B) shifts the line 7 units right

C) increases the slope of the line by a factor of 7

D) decreases the slope of the line by a factor of 7

Question

Mathematics

Angie Chambers

24 January, 23:10

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 left

B) shifts the line 7 units right

C) increases the slope of the line by a factor of 7

D) decreases the slope of the line by a factor of 7

+4

Answers (2)

Know the Answer?

Jean Burgess · Answer 1

B)

Step-by-step explanation:

Subtracting 7 from the input shifts the line 7 units right.

Joshua Howell · Answer 2

Answer: B) shifts the line 7 units right.

Step-by-step explanation: When the a number is either added or subtracted on the inside (will be surrounded by parentheses if it is on the inside) the parent function is moved right and left. Since it is inside parentheses, though, everything that happens will be the opposite of what it shows. Even though it says - 7, and you would assume it shifts left, it doesn't. It actually goes to the right.

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 leftB) shifts the line 7 units rightC) increases the slope of the line by a factor of 7D) decreases the slope of the line by a factor of 7

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 left

B) shifts the line 7 units right

C) increases the slope of the line by a factor of 7

D) decreases the slope of the line by a factor of 7