Hi can you please help me with these sinusoidal functions questions? Please include all answers in degree mode and not in radian. Thank you!

Question

1. State the transformations that have been applied to y = cos x to obtain the function y = 1.78cos(x - 120°)+ 10

2. Determine the equation of a Sine *and* Cosine function that is modelled by the graph below. Show all work.

Graph link: https://gyazo.com/21b803891e5ec06eb603e03312a935e2

3. Consider y = 20cos(9x - 81°)- 2. Without graphing and showing all work, determine the

a) amplitude, period, equation of the axis, and phase shift

c) domain and range

4. Determine the equation of a sine function that would have a range of {y∈R | -4 ≤ y ≤ 1} and a period of 45°. Determine the cosine function that results in the same graph.

Answer 1

shift right 178 degrees

stretch vertically by factor of 1.28

shift vertically up 10