Question

Begin by graphing the absolute value function, f(x)= |x|. Then use transformations of this graph to graph the given function h(x)=-|x-4|What transformations are needed in order to obtain the graph of h(x) from the graph of f(x)? Select all that apply

Answer 1

To answer the question correctly, let us look at the graph of the function and the graph of the image.

The graph function

`f\mleft(x\mright)=|x|`

is

The graph of the image function

`h\mleft(x\mright)=-|x-4|`

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