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

The parent cosine function is:                                                         f(x) = cos(x)the transformed function is:                                                   f(x) = -0.1 cos(x) - 4following transformations have to be applied on the parent cosine function: 1) multiplication by -1multiplication by -1 indicates the reflection across x-axis. so the parent function is reflected across x axis.the equation of reflected function is:                                                 f(x) = - cos(x)2) vertical dilation by a factor of 0.1multiplication of the function indicates a dilation. since the number is less than 1, it indicates compression. so the function is compressed by a factor of 0.1. the equation of the function becomes:                                               f(x) = -0.1 cos(x)3) subtraction of 4 from the functionsubtracting a number from the function indicates a downward shift. so the function is shifted vertically down by 4 units. the equation becomes:                                             f(x) = -0.1 cos(x) - 4so, the given function is obtained as a result of following transformations: reflection across x-axis, vertical compression by a factor of 0.1 and a downward shift by 4 units.