As I made my t-charts,I noticed that as the period increased,the number of bumps either stayed the same,increased by two,or increased by four. The number of bumps was always an odd number. When I overlaid the"morphed"circle with the sine curve graphed separately,I saw that the number of times the sine curve crossed the x-axis while inside the original circle was equal to the number of bumps the morphed circle has. In addition,when I increased the amplitude of the sine function that was added to the circle,the number of bumps stayed the same,but the morphed circle began to break apart.
As I made my t-charts,I noticed that as the period increased,the number of bumps either stayed the same,increased by two,or increased by four. The number of bumps was always an odd number. When I overlaid the"morphed"circle with the sine curve graphed separately,I saw that the number of times the sine curve crossed the x-axis while inside the original circle was equal to the number of bumps the morphed circle has. In addition,when I increased the amplitude of the sine function that was added to the circle,the number of bumps stayed the same,but the morphed circle began to break apart.
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