Which set of transformations is needed to graph f(x) = -0.1cos(x) - 4 from the parent cosine function?
a.reflection across the y-axis, vertical compression by a factor of 0.1, vertical translation 4 units up
b.reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
c.vertical stretching by a factor of 0.1, vertical translation 4 units down, reflection across the y-axis
d.vertical stretching by a factor of 0.1, vertical translation 4 units up, reflection across the x-axis

B.reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

Step-by-step explanation:

The parent cosine function is

The transformed function has equation.

The negative coefficient means a reflection in the x-axis

The amplitude   is a vertical compression

The addition of -4 is a vertical down translation.

Hence the set of translations are reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

The correct choice is B.

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Step-by-step explanation:

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