Last week in Advance math, we learned some of chapter eight. The section that i understood the most from this year so far was section 2 of chapter 8. eight-two seemed to be the easiest concept that we have learned all year. In section eight two, we learn how to find the amplitude and the period.In order to graph the things with a period change you must first:1.find all five points.2.divide by b 3.sketch the graph,which seems to be the easiest part of the process.
the amplitude is the absolute value of the distance from zero to the highest point and half the vertical distance. the period is how long it takes to repeat itself.
Ex:1 y=4 sin1/2x
1.amp:4
2.period=2pi/(1/2)=2pi times 2 = 4 pi
3.find your five points(0,pi/2,pi,3pi/2,2pi)
4.divide by b(1/2)
5.take the reciprocal which gives u 2 and multiply
6.0x2=0
7.pi/2 x 2= pi
8.pi x 2= 2pi
9.3pi/2 x 2= 3pi
10.2pi x 2= 4pi
11.sketch the graph with 2nd set starting at the origin(0,0).
Jeff,
ReplyDeleteGood job writing out the steps as you work the problem. This will be very helpful later when you need a refresher on this section.