For each of the following, graph. you may use online to help you, but make sure you understand what's happening in the graph and would be able to describe what's happening to someone else:
1. sin(x)
2. 3sin(x)+1
3. -2sin(x)
4. sin(360x)
5. sin(2x-45)
6. sin(x)*sin(x)
7. sin(x)*sin(x)+cos(x)*cos(x)
1. A ferris wheel rotates once every 45 seconds. It is 50 ft in radius, but off the ground a total of three feet. Give a function in terms of time that explain how high off the ground a person will be at any given second.
2. Create a trigonometric function with range from 4 to 8 and a frequency of 120 degrees.
3. Create a trigonometric function with center of 5, amplitude of 3 and a frequency of 720 degrees.
4. Create a trigonometric function with range -50 to 80 and a frequency of 2.
Given what we did with sine, see if you can figure out what is going to happen with the following:
1) |x+2|-3
2) (x-3)^2 + 5
3) -|x+1|-3
4) 2|x|-3
5) 0.5|x|-3