Problem

Write the function whose graph is the graph of $y=|x|$, but is shifted down 9 units.
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Answer

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Answer

\(\boxed{y=|x|-9}\) is the function whose graph is the graph of \(y=|x|\), but is shifted down 9 units.

Steps

Step 1 :The function \(y=|x|\) is the absolute value function.

Step 2 :When we say that the graph is shifted down 9 units, it means that we subtract 9 from the function.

Step 3 :So, the new function becomes \(y=|x|-9\).

Step 4 :\(\boxed{y=|x|-9}\) is the function whose graph is the graph of \(y=|x|\), but is shifted down 9 units.

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