Wednesday, October 27, 2010

Lesson 29 - y=asin( Ѳ - p) + C

y=cosѲ → 2 cosѲ   2 in front means there is a vertical expansion of 2
y= cosѲ  → cosѲ +1     +1 means the graph will move up  1 on the center line (vertical displacement)
y=1/4sinѲ   ¼ treat as 1’s on your y-axis, instead of 1 and -1 it will be ¼ and -1/4 

y= sin( Ѳ + π/2)    π/2  this is called a phase shift, it will move to the left π/2  

y= cos (Ѳ - π/3)     
π/3    1/4P = π/2    Phase Shift: = π/3 = 2 π/6  Scale: (common denominator) π/6