The following tasks will guide you in your exploration.[br]1) [b]Explore[/b] how changing a, b, and d affects the graph of the sine curve. Consider the effect of each transformation on the [b]amplitude, period, and principal axis[/b] of the sine curve.[br]2) [b]Write[/b] a specific prediction: what do you know about the graph of y = 3sin(2x) + 1? What is its amplitude? Period? Principal axis?[br]3) [b]Test[/b] your prediction using the applet.[br]4) [b]Sketch[/b] a graph prediction of each curve below by hand. Then test your prediction with the applet.[br]a) y = -sin(3x)[br]b) y = 5sin(x) - 3[br]c) y = -3sin(4x) + 2[br]5) [b]Summarize[/b] in your notes: How do you find the amplitude, period, and principal axis of y = asin(bx) + d ?