SOLUTION
To answer the question correctly, let us look at the graph of the function and the graph of the image.
The graph function
[tex]f\mleft(x\mright)=|x|[/tex]
is
The graph of the image function
[tex]h\mleft(x\mright)=-|x-4|[/tex]
is
Looking at both graphs, we can seee that
1. There is a reflection of the original function over the x-axis
2. You can see a shift from point (0, 0) of the original funtion to a point (4, 0) of the image function.
Hence, the answers are
B. Horizontal shift and
F. Reflection about the x-axis
