4.2 Transformations of Trigonometric Functions

What is the phase shift of the function $$y=\cos\left(x-\frac{\pi}{2}\right)$$ ?

Describe the transformation of the function $$f(x)=\cos x$$ to $$g(x)=-\frac{5}{3}\cos\left(2\left(x+\pi\right)\right)-2$$ .

What is the midline of the function $$y=-3\sin\left(2(x-\frac{\pi}{2})\right)+7$$ ?

What is the amplitude of the function $$y=3\sin(x)$$ ?

What does a negative coefficient in front of a cosine function indicate?

How does the function $$y=\sin(2x)$$ differ from $$y=\sin(x)$$ ?

What is the period of the function $$y=\cos(3x)$$ ?

What transformation does the function $$y=\sin(x-\frac{\pi}{4})$$ represent?

What is the vertical shift of the function $$y=\cos(x)+2$$ ?

What is the effect of multiplying the sine function by a factor greater than 1?