Identify the parent circular function: (y=sin x), (y=cos x), (y=tan x), (y=csc x), (y=sec x), or (y=cot x)
Determine the amplitude, if applicable
Determine the period
Determine the phase shift
Determine the vertical shift
Determine the midline, if applicable
Determine the domain
Determine the range
Plot key points for one cycle
Use quarter-period intervals for sine and cosine
Use asymptotes for tangent, cotangent, secant, and cosecant
Apply reflections if the function has a negative coefficient
Apply horizontal stretches or compressions from the coefficient of (x)
Apply vertical stretches or compressions from the coefficient outside the function
Draw the graph through the plotted points
Repeat the pattern for additional cycles if needed
Mark asymptotes clearly where the function is undefined