4. Graphing Trigonometric Functions

Describe the phase shift for the following function:

$y=\cos\left(5x-\frac{\pi}{2}\right)$

Describe the phase shift for the following function:

$y=\cos\left(2x+\frac{\pi}{6}\right)$

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function.

y = sin (x − π/2)

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function.

y = 1/2 sin(x + π)

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function.

y = 3 sin(πx + 2)

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function.

y = cos(x + π/2)

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function.

y = 4 cos(2x − π)