Question

The graph to the left shows a red sine wave and a black sine wave. When you start t black sine wave will be hidden behind the red one. Play around with the red sine wav by changing the values for amplitude, frequency, and phase to see how they change the shape of the wave. Questions to Answer 1) Which setting changes maximum and minimum? A2) Which setting shifts the start and end left or right? 3) Which setting changes how often the pattern repeats? What happens if you enter a frequency of 132 a frequency of 37 5) Set amplitude to 1 and frequency to 1. Change phase to 0, then 1, then 2, then 3, then 4. How does a phase of 4 compare to a phase of 0? Why? Which settings (Amplitude. Frequency, or Phase) would you change, and what would you change them to, if you wanted the red sine wave to (Note reset the settings to 1,1,0 between each question) .2 6) go up to a maximum of 2 and down to a minimum of -2 7) shift to the left so it starts at -1, instead of 0 -3 Change Numbers Below Amplitude 8) repeat the pattern more frequently so that the pattern completes six complete repetitions (and only six) instead of three requency Phase 1.00 Enter a number from 0 to 3 1.00 Enter a number from 0 to 10 0.00 Enter a number from 0 to 4 9) go up to a maximum of 1/2 and down to a minimum of -1/2 10) Looks like a single U (no repetitions) that starts at 0 at the beginning of the graph falls down to -3 in the middle of the graph, and climbs back to 0 at the end of the graph To Reset values enter the following Amplitude Frequency 1 Phase 0

Answer 1

Answers:

1) changes in maximum and minimum is decided by the amplitude hence if we change the amplitude then maximum and minimum changes.

2)The phase decides whether shifts starts and end left or right .

3) Frequency is nothing but the no. Of cycles per second..... That means frequency decides that how often the pattern repeats.

If we enter the frequency 1/3 then we can get the only one third part of the one full cycle in one second interval. And if we change frequency to 3 then we get three cycles in one second interval.

6) to go up to the maximum of 2 and minimum of - 2 set amplitude = 2.

7)to shift to the left so that it starts at - 1 set the phase =3 so we get phase change of 270 degree .