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 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

Answer 1

B)

Explanation:

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

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.