This is from the book of CPM pre-calculus chapter 4-131 to 4-132. Please help me with this problem, I desperately need help. I don't really know how to do a or B and the rest is just hard for me to comprehend.

reasonau 4-131. Let g(x) = sin x + cos x. a. Obtain the Lesson 4.3.2A Resource Page from your teacher. The graphs of y = sin x and y = cosx are drawn from x = 0 through 2xt . The x-axis is scaled in multiples of . You can get the graph of the sum ( sin x + cos x ) by adding y-coordinates point by point. This is already done for x = 12 in the diagram. The point D is obtained by measuring the distances AB and AC to the nearest tenth of a centimeter, adding the distances, and plotting point D at a distance AB + AC above point A. Plot additional points in a similar fashion for x = 0 through x = ~ for the values of x marked on the axis. b. For the next x-value, cos x is negative. You need to take this into account when you do the addition, so this time D will be below the graph of y = sinx. The process you have been doing is called graphical addition. Plot additional points similarly for x = 7% through x = 2x . Join the points with a smooth curve and label the graph g(x). C. What is the parent graph for g(x)? d. Is the graph of g(x) periodic? If so, what is the period? e. Explain how you know that g(x) = acos(x -b). Express the smallest positive value of b in terms of It. f. By measuring, find a correct to the nearest tenth. 4-132. Enter Y1 = sin(X), Y2 = cos(X), and Y3 = sin(X) + cos(X) in the [Y=] window. Arrow over to the graphing symbol to the left of Y3 and press [ENTER] until the slash turns bold. Does the bold graph confirm the graph you drew without a calculator? 218 Pre-Calculus with Trigonometry