You need three key things:
Amplitude-- Vertical stretch or shrink
Period-- The time it takes for the graph to complete one full cycle.
Key Point Interval--The x-values where we have minimums, maximums, or cross the center line.
Parent Functions
Cosine
y=cos(x)
Period=2π
Key Point Interval= 2π/4=(π/2)
Sine
y=sin(x)
Period=2π
Key Point Interval= 2π/4=(π/2)
For more help go to this link: http://www.youtube.com/watch?v=n5tTAsBJS_g
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