The applet below has 4 different transformations of the curve, y=cos x. Move the sliders for a,b,c, and d, and see how the graph changes. Note: x is in radians. You can also show the sine curve, by pushing the check box.[br][br]Play around until you understand the idea, and then answer the questions below.

[b]Question 1: [/b]Describe the transformation, that moves y=cos x to y=sin x.[br][br][br]Consider the general cosine curve, y=a cos (b(x-c))+d.[br][br][b]Question 2: [/b]Write the amplitude, principal axis, period, minimum, and maximum of the general cosine curve.[br][br][b]Question 3: [/b]How does your answers to question 2 match y=sin x?