Sinusoidal Functions (with radian measure)

What is the period of the function shown?

What is the amplitude of the function shown?

To write the equation of this function without a phase shift, which of the following would you use?

Given: $$f\left(x\right)=-2\sin\left(x-\frac{\pi}{3}\right)+5$$  

What is the maximum value of the function?

Given: $$f\left(x\right)=-2\sin\left(x-\frac{\pi}{3}\right)+5$$  

What is the period of this function?

Given: $$f\left(x\right)=-2\sin\left(x-\frac{\pi}{3}\right)+5$$  

What is the phase shift / horizontal translation of the function?

What is the equation of the function shown?

What is the equation of the function shown?

Which of the following is a valid equation of the function shown?

A sinusoidal function has the equation $$f\left(x\right)=4\cos\ 3\left(x+\pi\right)-5$$  . To write the same equation as a sine function, which of the following would change: