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f(x) Transforms to f(|x|)

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Question

The graph of $f (x) = | | x - 1 | - 1 |$ is

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 C
We know $y = | x |$ ,

For $y = | x - 1 |$ shifting right by $1$ unit

For $y = | x - 1 | - 1$ shifting down by $1$ unit

Now the graph of $y = | | x - 1 | - 1 |$ is

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f(x) Transforms to f(|x|)

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