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spayn [35]
3 years ago
13

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x| - 4?

Mathematics
2 answers:
jenyasd209 [6]3 years ago
4 0
The answer is that it goes 4 units down, i hope this helped :D
KATRIN_1 [288]3 years ago
3 0

Answer:

4 units down

Step-by-step explanation:

Translations are transformations that change the position of the graph of a function. The general form of the graph of a function is moved up, down, right or left

Given a function:

y=f(x)

A vertical translation can be expressed as:

y=f(x)+c=Vertical\hspace{3}translation\hspace{3}c\hspace{3}units\hspace{3}up\\y=f(x)-c=Vertical\hspace{3}translation\hspace{3}c\hspace{3}units\hspace{3}down

Where:

c=constant>0

So:

y=|x|-4

It's a vertical translation 4 units down. You can corroborate checking the picture I attached you and evaluating the function at x=0

y(0)=|0|-4=-4

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