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

Question

Mathematics

Middleton

Today, 14:36

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

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Answers (2)

Know the Answer?

Beatrice Gonzales · Answer 1

Its D

Step-by-step explanation:

The - 4 moves the graph down 4 units.

Nemo · Answer 2

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.