Problem

The graph of $f$ is translated a whole number of units horizontally and vertically to obtain the graph of $k$. The function $f$ is defined by $f(x)=-|x|$. Write down the expression for $k(x)$. \[ k(x)=\square \]

Solution

Step 1 :The graph of function f is translated a whole number of units horizontally and vertically to obtain the graph of function k.

Step 2 :The function f is defined by \(f(x)=-|x|\).

Step 3 :The expression for k(x) is \(k(x) = -|x-h| + v\).

Step 4 :Here, h represents the horizontal shift and v represents the vertical shift.

Step 5 :Final Answer: \(\boxed{k(x) = -|x-h| + v}\)

From Solvely APP
Source: https://solvelyapp.com/problems/15878/

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