11. Sketch one cycle of the following graph and be sure to include an appropriate scale on each axis: y = 3sin(x - 30 )

12. Determine the amplitude, maximum point, minimum point, period, interval, phase shift, key points, coordinates (make sure you show how to obtain the y coordinate mathematically). Then GRAPH one period of the following function: y = -2sin (2x +)

7) Graph the following function. First note down each transformation then record in the table before graphing. 3-sin(+45°)-3 3-sin (@+45¹)-3 y = 8. Represent the graph of the following functions using a sine and cosine function. 2- MAA 0° 90° 180° 270⁰ 360° x -2- Sine Function: Cosine Function: Example 3: A group of students is tracking a friend, John, who is riding a Ferris wheel. They know that John reaches the maximum height of 11m at 10 seconds, and then reaches the minimum height of 1m at 55 seconds. a) Develop an equation of a sine and cosine function that models John's height above the ground. b) What is John's height above the ground after 78 seconds?

Graph one period, state amplitude,state period, key increment, phaseshift, and vertical translation.(spread the graph out-show scales)Graph: g(x) = 3sin 4(x - (pie)/8) Amplitude:  Period: KI : PS:  Vert. Trans: