Using a graphing calculator (an online one is provided by the second link below), explore the effects of the constant variables a, b, c, and d in the equation f(x) = a sin (bx + c) + d. Sketch the graphs that you make on sheets of graph paper (graph paper can be printed from the same link as the graphing calculator). It is best to change only one of the constant variables at a time to be able to see the difference.
After you have recorded several graphs, study them to notice the patterns. Write down some of your observations about each constant variables effect on a scratch sheet of paper. Read the information provided in the first link to learn about the patterns you are seeing. In a couple of paragraphs, summarize the observations that you had and make sure to use the correct vocabulary.