Question

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

Answer 1

Answer:

Its D

Step-by-step explanation:

The - 4 moves the graph down 4 units.

Answer 2

Answer:

D. a vertical transformation of f(x) four units downward

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.