examine translations and the graphs of y=f(x)+a and y=f(x+b)
examine amplitude changes and the graphs of y=asinx and y=acosx
examine period changes and the graphs of y=sin bx, y=cos bx, and y=tan bx
examine phase changes and the graphs of y=sin(x+c), y=cos(x+c) and y=tan(x+c) and the relationships sin(x+π/2)=cosx and cos(x−π/2)=sinx