Question

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

Answer 1

`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`