Question

What is the effect on the graph of the function f(x) = |x| when f(x) is changed to f(x + 9)?

A) shifts right by 9 units
B) shifts left by 9 units
C) shifts up by 9 units
D) shifts down by 9 units

Answer 1

B) shifts left by 9 units

Explanation:

f(x) = |x|

f(x + 9) will shift the graph of f(x) 9 units to the left (see image below).

f(x - 9) will shift the graph of f(x) 9 units to the right.

C) and D) are wrong, becausethe minimum value of f(x) = 0 no matter what we add or subtract from x.