8-3

This week in advanced math we covered most of chapter 8. In 8-1 we learned to find cosine and to plug it into the right quadrant. We also learned the angle of inclination in 8-1. In 8-2 we learned to find the amplitude and the period, along with how to find the 5 points and graph with a period change. To do this we had to divide the points by B then graph them accordingly. In 8-3 we learned an expansion of 8-2.

8-3

Amplitude= max-min/2

y= Asin(Bx+/- C) +/- D

y= Acos(Bx +/- C) +/- D

Steps to graph

1) Get 5 points on the graph and divide by B.

2) Add or subtract C from those 5 points. Do the opposite of what C is in the formula.

3)Move all y values up D or down D.( If D is + go up and vise versa)

Ex. 3Sin(2x+2)- 4

1)o 0/2=0 0-2= -2

2)pie/2 pie/2/2 = pie/4 pie/4-2= -7(pie)/4

3)pie pie/2= pie/2 pie/2 -2 = -3pie/2

4) 3(pie)/2 3(pie)/2/2=3(pie)/4 3pie/4-2= -5(pie)/4

5)2(pie) 2(pie)/2=pie pie-2= -1(pie)

Next you would graph these points on the graph from the orgin since it Sin. Then you would subtract 4 from the y of every one of those points and graph that.