8-3

In advanced math this week we learned the begining of chapter eight. We learned chapters 8-1 through 8-3, which all tied into each other. It was a lot of information to retain but considering that I have the BEST advanced math teacher in the world... I managed to pull through it! In order to work with these sections you are going to have to use sine and cosine, and find the amplitude and period. You will learn about the both of these in the next example.

First let me tell you your formulas:
y = A-sin (Bx+ or – C) +/– D
y = A-cos (Bx + or – C) +/– D
Amplitude (the distance from 0 to the hightest point) = max-min/ 2
Period (how long it takes a function to repeat itself)

STEPS:
1. Follow the steps for period and change the five points.
2. Add or subtract C from the five points.
3. You will move any y values up or down.

EXAMPLE:
y= 4sin (4x-1/2) +4
Amp: 4
Period: 2(pie)/ 4= (pie)/ 2
1.0: 0/4= 0+ 1/2= 1/2
2. (pie)/2: (pie)/2 (1/4)= (pie)/8+ 1/2= (pie+5)/8
3. (pie): (pie)/4= (pie)/4+1/2= (pie+1)/2
4. 3(pie)/2: 3(pie)/2(1/4)= 3(pie)/2+ 1/2= 2(pie)
5. 2(pie): 2(pie)/4= (pie)/2+ 1/2= (pie+1)/2