Charlie's 4th Blog

This week we went through sections 8-2, an ‘overlap’ of 8-1 & 8-2, and 8-3.

In 8-2, it gives you functions y=AsinBx or y=AcosBx. Where you take A and find the absolute value of it. The absolute value of A equals the amplitude (aplitude- the distance from 0 to the highest point; ½ the vertical distance). Then you divide 2pi by B. This equation gives you the period (period- how long it takes a function to repeat itself). Then after finding these two things, amplitude and period, you graph the function with a period change following these steps: 1) take all 5 points 2) divide by B 3) sketch. The five points step 1 is talking about are 0, pi/2, pi, 3pi/2, and 2pi.

*remember* sine starts at 0, and cosine starts at the point.



EXAMPLE:
y=4sin3x
amp: l4l = 4
Pi/6period: 2pi/3 =2pi/3

Now by dividing 0, pi/2, pi, 3pi/2, & 2pi by 3, you get these 5 points.
0/3= 0
pi/2/3= pi/6
pi/3= pi/3
3pi/2/3= pi/2
2pi/3=2pi/3

Then graph/sketch.