Which set of transformations is needed to graph f(x) = –0.1cos(x) – 4 from the parent cosine function?

The coefficient −0.1 in front of cos(x) reflects the graph across the x-axis and compresses it vertically by a factor of 0.1. The −4 shifts the graph 4 units down. Therefore, the correct choice is the reflection across the x-axis, vertical compression by 0.1, and translation 4 units down.

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