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If anyone could help me on #17 i would appreciate it!

If anyone could help me on #17 i would appreciate it!-example-1

1 Answer

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Answer:


f(x)=-\lvert x-7\rvert+2

Explanation:

The function that was transformed is:


f(x)=\lvert x\rvert

If it reflects in the x-axis, shift 7 units to the right, and shift upward 2 units, we need to know the transformation rules for these displacements:


\begin{gathered} \text{ -f(x) reflects the function in the x-axis (upside-down)} \\ f(x-b)\text{ shifts the function b units to the right.} \\ \text{ f(x)+b shifts the function b units upward.} \end{gathered}

Now, with this in mind, the equation of the function transformed would be:


f(x)=-\lvert x-7\rvert+2

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