Precalculus

Worksheet titled Trig Graph Worksheet is here.  Equations for #1-6 are at the end of the document.  Graphs can be found using Desmos.

Worksheet titled Vertical Shifts and Phase Shifts is here.  Answers are here.

Here's some help
1.  Identities - There are many ways of doing many of these.  You might find these helpful

• Verifying Trig Identities - Part 1;   Part 2 
• Another Verifying Trig Identities - Here

2.  Trig Graphs - Different teachers mean different procedures.  Still, these may help.

• Transformations of Trig Graphs: Amplitude, Period, and Phase Shift
• Writing an equation of a sin/cos function when given the graph