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.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

im pretty sure it would be 5 am, hope that , and give brainliest and guys if this is right then press the button and give 5 stars