8-2 Graphing with Period changes

This week in advanced math we learned sections 8-1 through 8-3. In 8-1 we learned to find theta, then to find whether the angle is positive or negative. Once we find those we find out which quadrants the angles are in. In 8-2 we learned to graph with a period change. We also learned to find the amplitude and the period. We then expanded on 8-1, learning that m= tan a for a line Tan 2a=B/A-C if A is not equal to C for a conic. If A=C for a conic section x=pie/4. Ax^2 + Bxy + Cy^2 + Dx + Ey + F=0. And last but not least that a= angle of inclination. In 8-3 we learned to graph the five points. We also learned that amplitude for a graph = max-min/2.

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

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

8-2

-y= ASinBx or y= ACosBx

-|A| = Amplitude

-2(pie)/B = Period

1) To graph with a period change.

a) Take all 5 points

b) Divide by B

c) Sketch

Ex. y= 2Sin4x

Amplitude=2 Period=2(pie)/4

1)o= 0/4= 0

2)pie/2= pie/2 *1/4= pie/8

3)pie= pie/4

4)3(pie)/2= 3(pie)/2 * 1/4= 3(pie)/8

5)2(pie)= 2(pie)*/4= 1/2(pie)