Sketch the graph of the function f(x) = -(x-4)^3 by indicating how a more basic function has been shifted, reflected, stretched, or compressed. label all intercepts on the graph and state the end behavior

Step-by-step explanation:

In the attached images we can see the rigid transformation of the function

1. The basic graph

2. The reflected graph

3. The displaced graph

Reflection: In the expression , the sign - before the parenthesis indicates that the function is reflected in the x axis, for this case the function is even, this means that -f(x) = f(-x) , then the reflection on the x axis is equal to the reflection on the y axis.

Displacement: We observe the term (x-4) of the function and analyze the value -4, where, the sign - indicates displacement to the right and the value 4 indicates the amount that the graph shifted .

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step-by-step explanation: