Problem

1) \( y=|x-2|-4 \)

Answer

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Answer

\( y = \begin{cases} x-6 & x\geq2 \\ -x-2 & x<2 \end{cases} \)

Steps

Step 1 :\( y = \begin{cases} (x-2)-4 & x\geq2 \\ -(x-2)-4 & x<2 \end{cases} \)

Step 2 :\( y = \begin{cases} x-6 & x\geq2 \\ -x+2-4 & x<2 \end{cases} \)

Step 3 :\( y = \begin{cases} x-6 & x\geq2 \\ -x-2 & x<2 \end{cases} \)

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