Select the correct answer. If f(x) = |x| and g(x) = |x| − 4, which transformation is applied to f(x) to get g(x)? A. a vertical
transformation of f(x) four units upward B. a horizontal transformation of f(x) four units to the left C. a horizontal transformation of f(x) four units to the right D. a vertical transformation of f(x) four units downward
<em>D. a vertical transformation of f(x) four units downward</em>
Step-by-step explanation:
f(x) = |x|
In f(x), for every x value you input into x, you get a corresponding y value.
Now look at g(x) = |x| - 4
The part |x| of g(x) gives you the same y-value for each x value as you had in f(x). The part -4, makes each y-value 4 less than it was in f(x). Since every y-value is 4 lower than the corresponding y-value of f(x), the function g(x) is a vertical translation of f(x) four units downward.
