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Liono4ka [1.6K]
3 years ago
14

Which of the following equations is the translation 2 units down of the graph of y = |x |?

Mathematics
2 answers:
Sveta_85 [38]3 years ago
7 0
Y=|x|-2

this can be easily seen by testing f(0) for all functions:
f1(0)=|0-2|=2
f2(0)=|x+2|=2
f3(0)=|x|-2=-2
f4(0)=|x|+2=2

f(0)=|x|=0, because you want to translate it 2 units down -2 is the expected value
Lera25 [3.4K]3 years ago
3 0

Answer:

y=|x|-2

Step-by-step explanation:

Given : y = |x|

To Find: Which of the following equations is the translation 2 units down of the graph of y = |x|?

Solution:

Rule : f(x)→f(x)-b

The graph f(x) is translated down by b units

We are given the graph of y = |x|

Now we are supposed to find which equation is the translation 2 units down of the graph of y = |x |?

Using Rule :y=|x|=|x|-2

So, The equation of translated graph is y=|x|-2

So, Option C is correct.

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