Question

What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x) - 4? A) shifts the line 4 units up B) shifts the line 4 units down C) increases the slope of the line by a factor of 4 D) decreases the slope of the line by a factor of 4

Answer 1

B) shifts the line 4 units down.

Explanation:

The constant negative number makes a vertical translation of the parent function in the -y direction. Slope keeps intact. So, the right answer is B.

Answer 2

B) shifts the line 4 units down

Explanation:

The point (x, f(x)) is moved to the point (x, f(x)-4), one with a y-coordinate 4 units lower. The line is shifted down 4 units.