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Question

Which of the following is the graph of y=|x−2|


A

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B

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C

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D

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Solution

The correct option is B


we know that the graph of y = |x|

Let f(x) = |x| and f(x) = |x2|

f(x) =0,when x=0

f(x) =0,when x=2

It means ,if we are travelling in the +ve x direction from negative side,we will see the graph of f(x) as a

delayed version of f(x).

If there is y1 = |x1|,then f'(x) will attain this value after 2 more units.

i.e.,y1 = f(x1 + 2) = |x1+22| = |x1|.

so the graph of |x| shifted to the right by 2 units will give graph of |x2|.so the option b is correct.


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