GrAssign  Determine the Trig Fn

Problem 1  - Write the Trig Function

     Sine Graph

          ~  amplitude:    4

          ~  period:    2π

          ~  horizontal shift:   shift π/3 to the left

          ~  vertical shift:   shift down -2 units.

Problem 2 - Write the Trig Function

     Sine Graph

        ~  amplitude:   5

        ~  period:     3π

Problem 3 - Write the Trig Function

     Cosine Graph

         ~  amplitude:  3

         ~  period:    4π

Problem 4 - Write the Trig Function

     Cosine Graph

         ~  amplitude:   3/2

         ~  period:  π

         ~  horizontal shift:    shift π/6 to the left

         ~  vertical shift:   shift down 1/2

Problem 5

    Change the following functions to the correct form: 

         A cos B (x - C) + D   or  A sin B (x - C) + D

       ~    y = -4 cos (2x - π) - 3

       ~    y = sin (1/2x + 2π) + 5

Problem 6

      For the problems below, generate the set of ordered pairs:

          for the Parent function, then w/Amp, then Vert Shift,

       then Period, and finally Horizontal Shift.

      Identify the following:  amplitude,  vertical shift, period,

         and horizontal shift for each problem.

      Using the last set of ordered pairs, draw a rough sketch of the function.

           Make sure you label the axis and points.

        ~    y = 3 cos (x - π/2) - 1

       ~    y = -2 sin (2x + π) + 3