Sketching and finding the equation of trigonometric graphs

Lancester's schools: Graphs of trigonometric fucntions
Periodic functions

Sketch the graphs of the following functions.
1. y = cos(x− π)
2. y = sin 2(x+ π)
3. y = 3cos(x+π)
4. y = −3cos(x+π)+2
5. Find a sin or cos function that has amplitude 2, period π, and for which f(0) = 2.

Sketch the graphs of the following functions, and find x-intercepts if they exist. If the following equations are hard to read, click and drag an equation into the the address bar, and the image should appear clearer