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.

noncoplanar points are points that do not lie on the same line.