Use transformations of the absolute value function, $f(x)=|x|$, to graph the function $h(x)=-|x-8|$. What transformations are needed in order to obtain the graph of $h(x)$ from the graph of $f(x)$ ? Select all that apply. A. Reflection about the $x$-axis B. Horizontal stretch/shrink C. Reflection about the $y$-axis D. Horizontal shift E. Vertical shift F. Vertical stretch/shrink

Step 1 ：The function $h(x)=-|x-8|$ can be obtained from the function $f(x)=|x|$ by applying two transformations: a horizontal shift to the right by 8 units and a reflection about the x-axis.

Step 2 ：The horizontal shift is represented by the '-8' inside the absolute value function. This shifts the graph of the function to the right by 8 units.

Step 3 ：The reflection about the x-axis is represented by the negative sign in front of the absolute value function. This flips the graph of the function over the x-axis.

Step 4 ：So, the correct answers are A and D.

Step 5 ：Final Answer: The transformations needed to obtain the graph of $h(x)$ from the graph of $f(x)$ are: \(\boxed{\text{A. Reflection about the x-axis}}\) and \(\boxed{\text{D. Horizontal shift}}\)